Question

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

Answer 1

Answer: x=4

Step-by-step explanation:

Concept:

There are three ways to solve the system of equations

• Substitution
• Elimination
• Graphing

Here, we would use substitution because we have two same variables.

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Solve:

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!! :)

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