Mathematics High School

Solve the simultaneous equations
5x + 3y = 23
2x + 4y = 12

Answers

Answer 1

Answer:

x= 4, y= 1

Step-by-step explanation:

5x +3y= 23 -----(1)

2x +4y= 12

Divide both sides by 2:

x +2y= 6 -----(2)

(2) ×5:

5x +10y= 30 -----(3)

(3) -(1):

5x +10y -(5x +3y)= 30 -23

Expand, simplify:

5x +10y -5x -3y= 7

Divide both sides by 7:

7y= 7

y= 7 ÷7

y= 1

Substitute y= 1 into (2):

x +2(1)= 6

x +2= 6

x= 6 -2

x= 4

Related Questions

Can someone plz help with this

Answers

Answer:

hexagonal prism

Lisa is ordering 5 bags of cat food from Canada. Each bag has a mass of 6 kg To determine the shipping costs, Lisa needs to know the total weight in pounds. What is the weight of the cat food in pounds?

Answers

Answer:

About 66 Lb

Step-by-step explanation:

each ball has a diameter of 60mmwhich container has the smaller surface area?

Answers

Here hope this helps good luckkkkkkk

In the puzzle below, A, B and C are represented by different positive integers. In this case, only odd numbers are needed for consideration, Can you make a couple of quick deductions to determine the value of A

A B
X C
-------
AAA

Answers

Answer:

x

Step-by-step explanation:

Use elimination to solve the system of equations.
x+y=−3
2x−3y=29

Answers

Answer:

(4,-7)

Step-by-step explanation:

Answer:

(4,-7)

Step-by-step explanation:

2x-3y=29

2x+2y=-6

subtracting gives us -5y=35 so y is -7 and x-7=-3 so x is 4. therefore the ordered pair is (4,-7)

[tex]5(x+3)=6(\frac{12+x}{2} } )\\[/tex]
find x please

Answers

Answer:

x=21/2

Step-by-step explanation:

5(x+3)=6(12+x/2)

Distribute the 5.

5x+15=6(12+x/2)

Reduce the numbers with the greatest common factor 2.

5x+15=3(12+x)

Distribute the 3.

5x+15=36+3x

Move the variable to the left-hand side and change the sign.

5x+15-3x=36

Collect like terms.

2x=36-15

2x=21

Divide 2 on both sides

x=21/2

Hope this helps :)

Answer:

x = 10.5

Step-by-step explanation:

5(x + 3) = 6( [tex]\frac{12+x}{2}[/tex]) ← distribute parenthesis on both sides

5x + 15 = [tex]\frac{72+6x}{2}[/tex] = 36 + 3x ( subtract 3x from both sides )

2x + 15 = 36 ( subtract 15 from both sides )

2x = 21 ( divide both sides by 2 )

x = 10.5

Please help I’ll give brainylist in return thank you

Answers

2.5 is the scale dilation.

Kinda Logic

I need this answer also. As fast as possible!!! Please please

Answers

Answer:

See below:

Step-by-step explanation:

The term [tex]f(x)[/tex] is used to show the function of x and is essentially the same as y in some cases. One being right now.

So we know the function [tex]T(n)[/tex] and we know that we want to solve for [tex]T(12)[/tex].

So what we can do, is input 12 as n in the original function.

Therefore, we get [tex]T(12)=\frac{2}{3} (12) + 3[/tex]

Using algebra, we can solve it and we get 11!

Cheers!

2x-7=13
What is the answer for x ?

Answers

Answer:

The answer will be ( x = 10)

-6(2v)+3a(3); v=1/3 a=2/3

Answers

Answer:

0

Step-by-step explanation:

-6(2(1/3)+3(2/3(3))=

Starting with pedmas (parenthesis, exponents, division, mulitplication, addition, subtraction).

We look at 2*1/3 and 2/3*3

[tex]2*\frac{1}{3}=\frac{2}{3}[/tex] and [tex]\frac{2}{3}*3=2[/tex]

[tex]-6(\frac{2}{3})+3(2)[/tex]=-6+6=0

[tex]v = \dfrac 13 ,~ a = \dfrac 23\\\\-6(2v) +3a(3)\\\\=-12v + 9a\\\\=-12\left(\dfrac 13 \right) + 9 \left( \dfrac 23 \right)\\\\=-4+ 3 \cdot 2 = -4 +6 = 2[/tex]

Hi pls help me I'm mad struggling

<3 ​

Answers

Answer:

should have studied

Step-by-step explanation:

What is an equation of the line with the slope -3 and a y intercept of 5? 1. Y=-3(x+5) 2. Y-5=-3x 3.-3x+y=5 4. Y=5x-3

Answers

Answer: Option 2

Step-by-step explanation: the slope is -3 so option 4 is wrong. Y intercept is 5 so the equation is y=-3x+5. Move the 5 to the left side and you get y-5=-3x which is option 2.

if we conduct 105 hypothesis tests at the 5% level, how many of them would be expected to be statistically significant just by chance alone

Answers

5.25
i think if my calculations r right

ANSWER QUICK! IF YOU GET THIS CORRECT YOU GET 50 POINTS AND BRAINLIEST

Which value is equivalent to the expression 7^2 − 3^4?
A) -3^2
B) -1^9
C) 1^6
D) 3^2

Answers

Answer:

Option B

Step-by-step explanation:

Answer:

None of these are equal to the equation in question.

When solved 7^2 - 3^4 = -32

-3^2 = -9

-1^9 = -1

1^6 = 1

3^2 = 9

So none of the answer choices are equal to the equation in question.

Step-by-step explanation:

hope this helps. . . <3

good luck!    uωu

In two or more complete sentences, explain how to use ordered pairs of points in S (x) and g(z) to determine if (2)
and g(x) are inverses of each other

Answers

Answer:

x=2x4=s

Step-by-step explanation:

because x+2x4=s


$1.800 is invested in account that earns 6% interest compounded quarterly, how much will this
investment be worth after 6 years Given : A =
P(1 + 3) "4
8
9
$2.573.11
$1,968.20
$7,288.08
$1,252.40
Question 5 (1 point)
Dan bou

Answers

Answer:

4 better inbox

Step-by-step explanation:

Which equation has no solution?
A.

B.

C.

D.

Answers

Answer:

  C.

Step-by-step explanation:

The equation will have no solution if it reduces to the form ...

  1 = 0

Other possible forms are ...

  0 = 0 . . . . infinite solutions

  y + c = 0 . . . . one solution

___

The given equations can be reduced to one of these forms by subtracting the right-side expression from both sides.

  A. 2.3y +2 +3.1y -(4.3y +1.6 +1.1y +0.4) = 0   ⇒   0 = 0   (infinite solutions)

  B. 32x +25 -21x - 10x = 0   ⇒   x +25 = 0   (one solution)

 C. 5/8x +2.5 -(3/8x +1.5 +1/4x) = 0   ⇒   1 = 0   (no solutions)

  D. 1/3 +1/7y -3/7y = 0   ⇒   y -7/6= 0   (one solution)

is 60:45 and 4:3 are equivalent ratios
​

Answers

Answer:

yes

Step-by-step explanation:

if we divide both terms of 60 and 45 by 15, we can simplify it to 4:3.

In addition to the car payment, Jackson and Bonnie estimate they will spend $200 on utilities, $140 on gasoline, $200 for groceries, $55 for cell phone, and $45 for car insurance. What will be the total of the monthly bills?

Answers

The total of the monthly bills will be $640.

(Add all of the bills together)
The answer is 640.


Explanation: if you add them all together you can get the answer.

Evaluate. [2−∣∣−1/4−2(−3/5)∣∣]÷(−6) What is the value of the expression? Enter your answer as a simplified fraction in the box.

Answers

Answer:

-7/40

Step-by-step explanation:

I hope this helps!




For what value of x is line m parallel to line n?

x=?

Answers

105 is the answer to your question

Simplify the expression and please show all work
-5+i over 2i

Answers

Answer:

2.5i

Step-by-step explanation:

-5/2 = 2.5

+i = 2.5i

Find the slope line (3,-8) and (-5,2)

Answers

Answer:

y2 - y1 / x2 - x1

-8 - 2 / 3 - (-5)

-10 / 8

-5 / 4

please help me please

Answers

The answer is C because it’s equivalent

helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp i will put brailny

Answers

Answer:

fraction 1/4. decimal 0.25 percent 25%

Step-by-step explanation:

5:20=5/20=1/4

1/4 is 0.25

the percentage is 25% aftr multiplying the decimal by 100%

Which of these sets of ordered pairs satisfies and expertise equation

Answers

Answer:

the answer would be C guys

Amy drove to her mother's house, which is
204 miles away. If it took her 3 hours, what was
her average speed

Answers

Answer:  68 miles per hour 2

204 miles/3 hours = 68 miles per hour

i hope this helps you ok :)

Answer:

68 Miles Per Hour

Step-by-step explanation:

[tex]\frac{204}{3} =68[/tex]

(PLEASE HELP!!)

Use the given figure to complete the statement below.

∠1 and ∠2 are what
angles?

-Congruent
-Similar
-Supplementary
-Complementary

Answers

congruent because 2 is a larger number then one and 1 is a smalled number then 2

Does 2/3 +3/4 + 1/5 = 1 37/60? Why or why not?​

Answers

Answer:

97 / 60 is what 2/3 + 3/4 + 1/5 comes

They also come to 1 37/60

Step-by-step explanation:

1 37/60 = 97/60           Does it?

Result = 2/3 + 3/4 + 1/5

The common denominator is 3 * 4 * 5 = 60, so that much is true.

2/3 = 40/60

3/4 = 45/60

1/5 = 12 / 60

When you add these three together, the numerator is 40 + 45 + 12 = 97

So the answer is correct.

AB, BC and CD are three sides of a regular octagon.
Find the size of angle BAC.
Give reasons for your answer.​

Answers

Answer:

  22.5°

Step-by-step explanation:

The exterior angle at B is 360°/8 = 45°. The congruent interior angles of the triangle at A and C total this amount. The angle BAC is 45°/2 = 22.5°.

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