What is the solution of the system of equations?
nd
y = -2x + 8
y = x - 4
1 answer:
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.
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<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!! :)
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