Question

Solve the system by Substitution.
x- 4y=-7
-x +2y = 3

Answer 1

Intro:

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Explanation:

Step 1:

Solve x−4y=−7 for x...

`x-4y=-7\\x=4y-7`

Step 2:

Substitute 4y−7 for x in −x+2y=3...

`-x+2y=3\\-(4y-7)+2y=3\\-4y+7+2y=3\\-2y+7=3\\-2y=-4\\y=2`

Step 3:

Substitute 2 for y in x=4y−7...

`x=4y-7\\x=4(2)-7\\x=8-7\\x=1`

So the solution of these equations is (1,2).