(PLEASE HELP)Solve the given system using your choice of either graphically or algebraically. Show and explain all work.
y = 2x - 4
x + 2y = 12

Answers

Answer 1

Answer:

algebraically.

y = 2x - 4........….....(1)

x + 2y = 12..............(2)

substituting the value of y in equation (2) we get

x+2(2x - 4)=12

x+4x-8=12

5x=12+8

x=20/5=4

substituting the value of x in equation(1) we get

y=2×4-4=8-4=4

:.(x,y)=(4,4)answer

Answer 2

The value of x = 4

The value of y = 4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be = A

Let the second equation be = B

Now ,

y = 2x -4

Subtracting 2x on both sides , we get

y - 2x = -4   be equation (1)

And ,

x + 2y = 12   be equation (2)

Now , on simplifying the two equations , we get

Multiply equation (1) by 2 , we get

2y - 4x = -8   be equation (3)

Now , subtract equation (3) from equation (2) , we get

5x = 20

Divide by 5 on both sides , we get

x = 4

Therefore , the value of x is 4

Substitute the value of x in equation (2) , we get

4 + 2y = 12

Subtracting 4 on both sides , we get

2y = 8

Divide by 2 on both sides , we get

y = 4

Therefore , the value of y is 4

Hence , The value of x and y is 4

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Related Questions

HELP PLSSS ASAP!!! HELP ASAP MATH! (BRAINLIST)

What is the measure, in degrees of an angle that represents 50/360 of a circle?

90º

50º

360º

310º

Answers

The measure, in degrees of an angle that represents 50/360 of a circle is 50 degrees.

What is a circle?

A circle is a locus of a point that moves in a plane such that its distance from a fixed point is always constant.

As we know that a circle has a total of 360 degrees all the way around the center.

So, the measure, in degrees of an angle that represents 50/360 of a circle will be =  50/360 * 360 degrees.

the measure, in degrees of an angle that represents 50/360 of a circle will be = 50 degrees.

Therefore, the measure, in degrees of an angle that represents 50/360 of a circle is 50 degrees.

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The measure of the angle at the centre of the circle that represents 50/360 of a circle is 50°.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

A complete circle has a 360° angle at the center of it, since the angle we need to calculate is represented by 50/360, therefore, the measure of the angle can be written as,

[tex]\theta = \dfrac{50}{360}\times 360^o = 50^o[/tex]

thus, the measure of the angle at the centre of the circle that represents 50/360 of a circle is 50°.

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PLEASE HELP!!

What is the y-intercept?

Answers

Judging by your graph, it should be 30 :)

Answer:

y- intercept = 30

Step-by-step explanation:

The y- intercept is the value on the y- axis (vertical) where the graph crosses

Each square on the vertical has a value of 10

The graph crosses the vertical axis 2 squares below 50.

Then y- intercept = 30

PLEASE ANSWER ASAP... MANY THANKSSS <3
A straight line is parallel to Y=3x-1 and passes through (0,4)
What is the equation of the line??

Answers

9514 1404 393

Answer:

  y = 3x + 4

Step-by-step explanation:

The given line is in the form ...

  y = mx + b

where m is the slope (3) and b is the y-intercept (-1).

The parallel line will have the same slope. The given point (0, 4) is the y-intercept, so the desired equation is ...

  y = 3x +4

HELP FOR A BRAINLIEST :)) JHGJQETBHJ
show me ya solving out too

Answers

Answer:

32

Step-by-step explanation:

1 mile = 1.609 kilometers

Answer:

4 minus StartFraction n cubed Over 7 EndFraction + 3

Step-by-step explanation:

Let the number be n

Quotient of of a number cubed and seven: n³/7

Four less the quotient of a number cubed and seven: 4 - n³/7

Four less the quotient of a number cubed and seven, increased by three: 4 - n³/7 + 3

PLEASE HELP HURRY!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

4

Step-by-step explanation:

Multiplication Property of equality.

multiply 5 on both side to have x alone on One side.

Help please (((((((((((((((((((

Answers

Answer:

4

Explanation:

sum of interior angle= 180°

10x= 180- (80+60)

10x= 180- 140

10x= 40

x=40/10

x= 4

PLEASE MARK ME AS BRAINLIEST!!!!

Answer:-

[tex]\pink{\bigstar}[/tex] Value of x is [tex]\large\leadsto\boxed{\tt\purple{4}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Knowledge Required:-

The sum of all the interior angles of triangle sum upto 180°.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Solution:-

Using the above knowledge we say that the angles of the given traingle should sum upto 180°.

Therefore,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 80^{\circ} + 60^{\circ} + 10x^{\circ} = 180^{\circ}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 140^{\circ} + 10x^{\circ} = 180^{\circ}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 10x^{\circ} = 180^{\circ} - 140^{\circ}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 10x^{\circ} = 40^{\circ}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf x = \dfrac{40^{\circ}}{10^{\circ}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf x = \cancel{\dfrac{40^{\circ}}{10^{\circ}}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

[tex]\large{\bold\red{x = 4}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, the value of x is 4.

Solve each inequality -6b + 2 < 56

Answers

Answer:

b > - 9

Step-by-step explanation:

i hope i did okay i try my best

Find the measure of angle CXD

Answers

Answer:

the answer is 100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

as u see it kinda looks like obtuse lol but if u do the work u can see its actually 100.

Taylor's cat runs 15 miles in 30 minutes. At this rate how far will her can run in 3 1/2 hours?

Answers

Answer:

105 miles

Step-by-step explanation:

15 miles in half an hour so 30 miles each hour

30 miles*3 hours=90 miles

90 miles+15miles= 105 miles in 3 1/2 hours

whats an"an amount, shared equally with 4 people "

Answers

well if that's in a math problem then its division. Because you are sharing equally.

Please solve this for me

9x+6+45=100

Answers

I hope this helps with your answer

Answer:

9x+6+45=100

Transposing (45) to RHS

= 9x+6=100-45

= 9x6=55

Now, transposing (6) to RHS

= 9x=55-6

= 9x=49

Now, transposing (9) to RHS

= x=49÷9

= x=5.44.....

Therefore, value of x=5.44..............

Please help it's due today. Also if you don't know please don't answer.​

Answers

I believe it's x= 20, hopes it help!

Answer:

x=20

Step-by-step explanation:

4 5 x

( 3 ) = 3

20 x

3 = 3

x = 20

PLEASE HELP ASAP!!!! simplify this expression y=0.03y

Answers

Answer:

103y/100

Step-by-step explanation:

24 is 3/4% of what number

Answers

24 is 3/4 of the number 32

Answer:

32

Step-by-step explanation:

Alright, so think of the "what number" as x in this case. (Or any number/symbol you choose.)

So our simple equation looks something like this:

[tex]24= x *\frac{3}{4}[/tex]

So, to find out what the "what number" would be we'd flip the fraction around/find the reciprocal and multiply 24 by it. That gives us "x" or the number we're missing.

So: [tex]24 * \frac{4}{3} = x[/tex]

Doing the simple math we get:

[tex]24 * \frac{4}{3} = 32[/tex].

32 is your answer.

Hope this helps and have a nice day! Sorry I'm not great at explaining it!

Please help! Will mark brainliest

Answers

Answer:

Marylin has the highest score: 87.5%

Step-by-step explanation:

Alyssa score: 21/25 = 84%

Jerrod: 80%

Francis: 88%

Marylin: 7/8 = 87.5%

Factor the trinomial below.​Thanks

Answers

Answer:

A. (3x+2)(3x+2)

Step-by-step explanation:

(3x+2)(3x+2)= 9x^2+12x+4

The answer is A! Hope this helps. :)

3(x+2)=36
Please help

Answers

Answer:

Step-by-step explanation:

3(x+2)=36

3x+6=36

3x=30

x=10

Answer:

3 (10+2)=36

Step-by-step explanation:

Hope this helps

will give 60 points and brainliest

Answers

I am not sure what you mean, but x=4

In order to find the value of x, we can write the following statements and reasons:

Triangle PQR:

1. Statement: PS = PS

Reason: Reflexive property of equality

2. Statement: angle PSQ is congruent to angle PSR

Reason: Given

3. Statement: SQ is equal to SR

Reason: Given:

4. Statement: Triangle PSQ is congruent to triangle PSR

Reason: Case SAS of congruency

5. Statement: PQ is congruent to PR, so PR = 8

Reason: Corresponding sides of congruent triangles

Quadrilateral VSTU:

1. Statement: VT = VT

Reason: Reflexive property of equality

2. Statement: angle SVT is congruent to angle UVT

Reason: Given

3. Statement: angle VST is congruent to angle VUT

Reason: Given

4. Statement: Triangle VST is congruent to triangle VUT

Reason: Case AAS of congruency

5. Statement: ST = TU

Reason: Corresponding sides of congruent triangles

So we have 5z = 2z + 3. Solving for z, we have z = 1, so ST = 5z = 5

Use the fraction strips to compare 2/4 and 5/8

Answers

Answer:

Step-by-step explanation:

We are given 2 fractional numbers:

We have to use fraction strips to compare to the fractional numbers.

Let we are Comparing  with the length of  number of  sections.

i.e.

Let we are Comparing  with the length of  number of  sections.

i.e.

Now, let us have a look at 3rd part of question:

The sections of 2/4 is _____ the length of 5/8. Therefore, 2/4 < 5/8

Let the answer be .

So, the equation becomes:

So, the answers are:

2

5

Answer:

1) two

2)five

3)less than

4)<

Step-by-step explanation:

i took the test on iready :)

. Toby invested £4500 for 2 years in a savings account. He was paid 4% per annum COMPOUND
interest. How much did Toby have in his savings account after 2 years?

Answers

Answer:

£4867.2

Step-by-step explanation:

Given data

P= £4500

T=2 years

R= 4%

The compound interest expression

A=P(1+r)^t

substitute

A= 4500(1+0.04)^2

A=4500(1.04)^2

A=4500*1.0816

A=£4867.2

Hence the balance is £4867.2

Answer:

P(1+r/100)^n - P

4500(1+4/100)^{2}-4500 =367.2

Step-by-step explanation:

7x^2 + 3 - 5x -\2x^2

Answers

Step-by-step explanation:

[tex] {7x}^{2} + 3 - 5x - {2x}^{2} \\ = {5x}^{2} - 5x + 3[/tex]


question “If y =5, what is the value of the following expression

7+2y²

Answers

Answer:

57

Step-by-step explanation:

Hey there!

To find the solution, plug in 5 for y. When you do this you get, 7+2(5)². Square the 5 to get 25. And then you att 7+2(25). 25 x 2 is 50. 50 +7 is 57.

Hope this helps :)

Answer : 57

Step-by-step-explanation: I answering this for the points : )

need help fast only 14 mins left

Answers

Answer:

V = 49 m³

Step-by-step explanation:

Volume in November 2015 = 6287 m³

Volume in August 2015 = 6238 m³

We need to find the volume of water used between August and November. It can be calculated as follows :

V = 6287 m³ - 6238 m³

= 49 m³

So, the required volume is 49 m³.

Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation. Domestic Traveler Spending in the U.S., 1987-1999 Spending (dollars in billions) A graph titled Domestic Traveler Spending in the U S from 1987 to 1999 has year on the x-axis, and spending (dollars in billions) on the y-axis, from 225 to 450 in increments of 25. Year Source: The World Almanac, 2003

Answers

Answer:

A

Step-by-step explanation:

ifunny is dankreloaded

The solution is, Option B Negative ,as time passes, speed decreases.

What is Correlation?

Positive Correlation= With Increase in x value, y value also increases or vice versa, we call it positive correlation.

Negative Correlation= With Increase in x value, if y value decreases or vice versa, we call it negative correlation.

here, we have,

Description of the Graph

1. The Relation between , Speed and time is depicted on the graph.

2. Minute = x coordinate

Miles per hour= y coordinate

The points shown on the graph , describing the relationship are, (5,15),(10,13.8),(15,11),(20,10),(25,9.8).

There are two types of Correlation

Positive Correlation= With Increase in x value, y value also increases or vice versa, we call it positive correlation.

Negative Correlation= With Increase in x value, if y value decreases or vice versa, we call it negative correlation.

As you can see from the points plotted on the graph ,with increase in x value , y value decreases.

So it is negative correlation.

As, time passes, Speed Decreases, So it is a Negative Correlation.

Option B  Negative ,as time passes, speed decreases.

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Which of these functions is not a linear function? Why?
f(x)=x-x
f(x)=3x
f(x)=x3
f(x)=23x-2
how am i supposed to know-

Answers

Answer:

f(x)=x3

Step-by-step explanation:

If you meant f(x)=x3 by f(x)=x^3 then that would be a cubic equation and not linear?

If 7 less than 4 times a number is two more than that number, what is the result when the number is subtracted from 50?

Answers

Answer:

4x-7=x+2

3x=9

x=3

3-50=-47

Step-by-step explanation:

HELP PLZ
Given that m n and n l what conclusion can be made?

A. N || P
B. M upside down t P
C. M upside down t L
D. L || M

Answers

A

B or D is your answer

Hope this helps

Step-by-step explanation:

N || P

Step-by-step explanation:

the most reasonable answer to me is that coz line n and p will neva meet but I also like L || M(not sure)

hope that helps

Need help, you know the deal lol​

Answers

Answer:

É correto afirmar: *

1 ponto

a) O tempo profano é o tempo cronológico, pois não está associado ao sagrado, ao religioso. Trata-se do tempo que é medido por meio de vários instrumentos.

b) O tempo profano é o tempo mítico, primordial, o tempo da origem das coisas.

c) O tempo não tem relação com o sagrado. O sagrado somente tem relação com o espaço.

d) Para as religiões não há diferenças entre tempo sagrado e tempo profano.

2. Sobre temporalidade sagrada é correto afirmar: *

1 ponto

a) As festas sagradas não estão ligadas à temporalidade sagrada, afinal têm somente como objetivo o entretenimento dos fiéis.

b) A cronologia Budista inicia-se a partir da saída do profeta Muhammad da cidade de Meca.

c) O calendário cristão gregoriano inicia a contagem dos dias a partir da ressurreição de Jesus Cristo.

d) Rituais e Festas Sagradas são importantes para que as pessoas rememorem e revivam os acontecimentos sagrados, atualizando, desse modo, sua fé, sua devoção e seu comprometimento com a religião.

Outro:b

Help please it’s a grade

Answers

For the right angle triangles to find the hypotenuse square both the sides that are given and add them together, then you need to square root your answer
If you are finding a different side like triangle 2 use a^2 = c^2 - b^2 where a is the side you are finding, c being the hypotenuse and b being the other side.

Are the following triangles similar or not similar?

Answers

No, 47 equals 47, 66 does not equal 67, hence not similar
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