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butalik [34]
3 years ago
7

What is the solution of the system of equations? nd y = -2x + 8 y = x - 4

Mathematics
1 answer:
Juliette [100K]3 years ago
4 0

Answer: x=4

Step-by-step explanation:

<u>Concept:</u>

There are three ways to solve the system of equations

  • Substitution
  • Elimination
  • Graphing

Here, we would use <u>substitution </u>because we have two same variables.

--------------------------------------------------------------------------------------------------

<u>Solve:</u>

Given

y = -2x + 8

y = x - 4

Substitute

-2x + 8 = x - 4

Add 4 on both sides

-2x + 8 + 4 = x - 4 + 4

-2x + 12 = x

Add 2x on both sides

-2x + 12 + 2x = x + 2x

12 = 3x

Divide 3 on both sides

12 / 3 = 3x / 3

x = 4

Hope this helps!! :)

Please let me know if you have any questions

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Bruce’s dumbbells weigh 9 pounds each. If Bruce has 18 dumbbells , how many pounds do they weigh altogether ?
otez555 [7]

To do this, multiply 9 by 18.  This will show you how much they all weigh if there are 18 and each is 9 pounds.


The answer is 162.


Hope this helps!

7 0
4 years ago
Read 2 more answers
PLZZZZZ HELLLLPPPP I NEEEEDDDDDD AAASSSSAAAPPPP<br> reward if u an help me ;)
Igoryamba

Answer:

1. x= -56.25

Expand

19.5-6.5x+36=201-4.5x-33

Simplify

-6.5x+55.5=201-4.5x-33

Simplify again

6.5x+55.5=-4.5x+168

Add 6.5 to both sides

55.5=-4.5x+168+6.5x

Simplify

55.5=2x+168

Subtract

55.5-168=2x

Simplify

112.5=2x

Divide both sides by 2

−112.5÷2 = x

Simplfy

x = -56.25

2. x > -7 ÷ 4

Or

Decimal Form: -1.75

Remove parentheses

12x>4x+5−19

Simplify

12x>4x-14

Subtract

12x-4x>-14

Simplify

8x>-14

Divide both sides by 8

x > -14 ÷ 8

Simplify

x > -7 ÷ 4

Or

Decimal Form: -1.75

3. Answer: Step 2 has an error

Step-by-step explanation:

Given equation,

2(10 - 13x) = -34x + 60

By distributive property,

20 - 26x = -34x + 60

Now, we need to isolate x on the left side of the equation,

For this we need to eliminate constant term from the left side,

20 will be eliminated by subtracting 20 from both sides ( subtraction property of equality )

I.e. Step 2 has an error,

We need to use subtraction property of equality instead of using addition property of Equality,

Note : The correct steps would be,

Step 2 : 20 - 26x = -34x + 60 ( Subtraction property of equality )

Step 3 : 8x = 40  ( addition property of Equality )

Step 4 :  x = 5  (  Division Property of Equality )

Hope this helps!!! Good luck!!! ;)

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3 years ago
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Answer:

3

Step-by-step explanation:

Range is finding the difference between the biggest number(3) and the smallest number(0). 3-0=3

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Answer:

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