y = 2x + 4
and
y = 2x - 8

Solve the systems by substitution

Answers

Answer 1

Answer:

-x - y - z  = -8   ........      (1a)

-4x + 4y +5z = 7     .....   (2a)

2x + 2x =  4   ..........       (3a)

since (3a) a is an equation solely in x make x the subject of the equation

  2 ( x + x) = 4

 divide both sides by 2

      (x + x)  = 2

            2x  = 2

              x  =  1  .......  (3b)

  substitute x in (3b) for x in (1a)

          -(1) - y - z  = -8  

    make y the subject of the equation

              -y - z  =  -8 + 1

                    -y =  -7 + z

                     y = 7 - z  ..... (1b)

 substitute y in (1b) for y in (2a) as well as the value of x ( x= 1)

        -4(1)+ 4( 7 - z ) +5z = 7

       - 4 + 28 - 4z + 5z  = 7

              -24 + z  = 7

                       z  = 7 + 24

                       z  = 31

By using (1a) solve for y

          -(1) - y - (31)= -8          

          -1  - y - 31 = -8        

                        y = -1 - 31 + 8

                        y = -24

 

∴ the solutions of the system are  x = 1 ; y = -24 ; z = 31  

Hope this helps!!!!!!!

//////////////////////////////////////////////////////////////////////////////////////////////////


Related Questions

Which graph does not represent a function?

Answers

Answer:  B

Step-by-step explanation:

It is.

The graph b is the answer

please help does anyone know this?!!!

Answers

Answer:

b c a

Step-by-step explanation:

b c a;b c a; b c a; b c a; b c a

Answer:

Step-by-step explanation:

THe first one is infinitely many solutions , you see y-2x=7 is the same as y=2x+7 which means they will intersect on every point

y-2x=7, simply add 2x to both sides

y=2x+7

The second one has no solution, if you solve for y on each side, you will find that the lines are parallel (slope is the same) and will never intersect.

THe third one has one solution

PLEASE HELP 17 points

Answers

Answer: I say B its a bit hard but i think i got it not  sure but Good Luck!

Step-by-step explanation:

Answer:

6.25

Step-by-step explanation:

When dilating a shape, you need to take the side length and multiply it by the scale factor.

37
R
12
B
35
С
Find tan(a) in the triangle.
Choose 1 answer:
А
35
37
35
B
12
12
35
12
37

Answers

The value of the tangent of angle α will be 35/12. Then the correct option is B.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The triangle ΔABC is given below.

Then the value of tan α will be

tan α = 35 / 12

Then the correct option is B.

More about the right-angle triangle link is given below.

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You decide to get an estimate on the cost of repairs for the green food truck
The mechanic explains that the cost of the repairs comes out to be about
$9,500. This price includes the cost of labor and the cost of the parts needed
to do the repairs. If labor costs are 3/5 the cost of the parts, how much
would you save by doing the repairs yourself and just purchasing the parts?

Answers

Answer:

$3562.50

Step-by-step explanation:

If the cost ratio is ...

 labor : parts = 3/5 : 1 = 3 : 5

then the ratio of labor to the whole cost is ...

 labor : total = 3 : (3+5) = 3 : 8

The amount saved by not paying for labor is ...

 (3/8) × $9500 = $3562.50 . . . labor charge

9(x-4) -7x=32-2(x+8)

Answers

Answer:

x=13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

using distributive property:

9x-36-7x=32-2x-16

2x-36=16-2x

4x=52

x= 13

plz brainliesttt

what is the equation of a line with a slope of -3 and a y-intercept of 9

Answers

Answer:

The answer to the question provided is y = -3x + 9.

I will give brainiest to whoever answers correctly !!

Answers

Answer: approx. 4077.7

Step-by-step explanation:

Use this formula: T=a*(1+m%)^n (T: result; a: initial money; m:interest; n:months)

need help asap please

Answers

Answer:

[tex]\displaystyle 77[/tex]

Step-by-step explanation:

Isosceles triangles will always tell you what you need to know. All angles are congruent, therefore all edges are congruent. ‍♂️

I am joyous to assist you at any time.

help! asap i’ll mark you brainliest please.

Answers

x=5 y=4, you have to do 7x-4=31 and 4x+8=24

which of the following equations would have 2 x-intercepts

Answers

Answer:

None of these

Step-by-step explanation:

because if we plug in every time we will gwt one solution of X

Leo has 3 8/9 ounces of sunblock. He uses one-fifth of an ounce at the beach. How much does he have left?

Answers

Step-by-step explanation:

7/9pls mark as brainliest

Answer:

Step-by-step explanation:

It's 3 31/45

18 percent of what number is 74

Answers

Answer:

411.1111111

Step-by-step explanation:

18% of x = 74

Convert 18% into a decimal.

0.18 • x = 74

Isolate x by dividing by 0.18.

x = 411.1111111

Check answer.

0.18 • 411.1111111 = 74

74 = 74

4x - 3y = 11
2x - 5y = 25

solve using elimination and substitution method​

Answers

Answer:

hope it helps forget about my writing

Answer:

(-1.43, -5.57)

Step-by-step explanation:

Elimination:

First we need to line up x or y to be the opposite so they can be eliminated:

4x - 3y = 11

-2( 2x - 5y = 25) which is

-4x + 10y = -50

Next step we cancel out the x but adding both equations which would isolate the y:

7y = -39

y = -5.57

After finding y, plug it back into the equation to find x:

4x - 3(-5.57) = 11

4x + 16.71 = 11

4x = -5.71

x = -1.43

To ensure it is correct, we can plug it back into both equations:

4(-1.43) - 3(-5.57) = 11

2(-1.43) - 5(-5.57) = 25

Solve for x.
3(-2x-3)+4x-3=8

Answers

X=2
Dkdndbxkdkdjxjdbdkdnbx

Hey there!

DISTRIBUTE

3(–2x – 3) + 4x – 3 = 8

3(–2x) + 3(–3) + 4x – 3 = 8

COMBINE LIKE TERMS

–6x – 9 + 4x – 3 = 8

–2x – 12 = 8

ADD by 12 on BOTH SIDES

–2x – 12 + 12 = 8 + 12

CANCEL out: –12 + 12 because that gives 0

KEEP: 8 + 12 because it helps us solve for x

“8+ 12 = 20”

–2x = 20

DIVIDE by –2 on BOTH SIDES

–2x/–2 = 20/–2

CANCEL out: –2/–2 because that gives 1

KEEP: 20/–2 because that gives you x

“x = 20/–2”

Answer: x = –10 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Read Out
Loud
Angus cut his neighbor's lawns for the summer. By the end, he
had $240 in his lawn cutting bank account after paying a total
of $60 for gas.
He earned $6 for every lawn he mowed in his neighborhood.
How many yards did he mow?
Select the expression that represents the problem above
a) (240 - 60) + 6
b) 240 + 60 x 6
c) 240 +60 - 6
d) (240 + 60) + 6
2
A
5

Answers

Answer:

pov: im getting free points

Step-by-step explanation:

4. The sale price of a bunny doll is $12 after a 40% markdown. What is selling price and
markdown amount?

Answers

The selling price was 20$ and the markdown was 8$. You find that by doing 60/100*x=12 because you are looking for a portion and that portion in this case is 60%.

Each number line is shaded to represent a percent drag a percent to each number line that represents a percent.

Answers

Answer:

Step-by-step explanation:

The first one is 20%

The second one is 95%

(Can you take another picture so I can see the rest)

complete the ratio table below

Answers

I think 53, 46, and 65

Can someone help me with this question for my homework 2x+29+11=x+28

Answers

Sure! I'll try!

2x + 29 +11 = x + 28

First, you would put like terms ( the x ) on the same side.

2x + 29 + 11 = x + 28

-2x                 -2x

Giving you: 29 + 11 = -3x + 28

Then, you would add 29 and 11 together to get 40.

Next, you'd put the 28 on the other side.

40 = -3x + 28

-28           - 28

Giving you: 12 = -3x

12= -3x there ya go!

need help asap please

Answers

Step-by-step explanation:

We know that opposite sides of parallelogram are equal so

t + 10 = 3t

3t-t = 10

2t = 10

t = 10/ 2

t = 5

Therefore the value of the should be 5 so that it makes a parallelogram.

Hope it will help :)

Solve the inequality.
8 + 12x < -16

Answers

Answer:

x < - 2

Step-by-step explanation:

I hope this helps.

Answer:

x < -2

Step-by-step explanation:

1) 12x+8< -16 Rearrange the expression

2) 12x < -16+8 Separate the constants and variables

3) 12x< -24 Add the the number

4) 12x/12 < -24/12 Divide both sides by 12

5) x< -2 Answer

Hope that helps.

what represents the quantitative forecast

Answers

Answer:

Quantitative forecasting relies on data that can be measured and manipulated. The data is usually from the past. This type of analysis is best for short-term forecasting as making assumptions about the future based on past performance is much more likely to be accurate in the near future.

Step-by-step explanation:

Helpppppppppppppppp pleaseeeeee

Answers

290.4 I'm guessing cuz bbn it closest to what I got

Please answer thank you

Answers

Answer:

y=10.2x

Step-by-step explanation:

x represents hikers

y represents total pounds

Y=10.2x because once the items are added all up you get the amount of the total weight

Which equation is equivalent to 1/5x - 3 = 2/3
A : x-15=10
B : 3x-15=10
C : 3x-45=10
D : 5x-45=3​

Answers

Yes the answer would be a

what is the answer to
2x=24

Answers

Answer:

12

Step-by-step explanation:

you divide 24 by 2 because it is multiplication, and the opposite is division.

The answer is 12 because u divide

Find the sum of whole number that are less than 100 and leave reminder 2 when divided by 5​

Answers

Answer:

99

Step-by-step explanation:

2+5, ∈ℤ

=2+7+12+⋯+97

This is AP with =2,=5,

th term is given by =+(−1)

97=2+(−1)5⟹=20

So sum of such integers,

20=202(2+97)=990

The sum of whole number that are less than 100 and leave reminder 2 when divided by 5​ is 990.

What is Arithmetic Progression?

A series in which the differences between each pair of following terms are the same is known as an arithmetic progression.

An arithmetic progression is a sequence in which every phrase—aside from the initial term—is created by multiplying the previous term by a predetermined amount.

Given:

We have to find the sum of number that are less than 100 and leave reminder 2 when divided by 5​

So, we get the sequence

2, 7, 12, ................97

=2+7+12+⋯+97

This is AP with =2,=5,

So, l= a+( n-1)

97= 2+ (n-1)(5)

95 = 5(n-1)

n-1 = 95/5

n-1 = 19

n= 19 + 1

n=20

Now, the sum is

[tex]S_{20}[/tex] = 20/2( 2 x 2+ (20 - 1 )(5))

     = 10( 4 + 19(5)

     = 10 (99)

     = 990

Hence, the sum is 990.

Learn more about Arithmetic Progression here:

https://brainly.com/question/16947807

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n
Write the equation of the line
that passes through (5,-6)
and has a y-intercept of -2.
Hint: What ordered pair is
used for the y-intercept?
I

Answers

-2=-5 + 6
Sorry if I’m wrong

can I get an answer please ​

Answers

Answer:

the second one I'm pretty sure

Step-by-step explanation:

Answer:

its definitely B

Step-by-step explanation:

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