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12 votes
12 votes
Solve with substitution. Show each step of your work

4x + y = 12
6x + 2y = 18

User Jitendrapurohit
by
3.1k points

1 Answer

13 votes
13 votes
4x + y = 12
Get y by itself
Subtract 4x
y = -4x + 12

Since you know what y is, you can plug the value into the second equation

6x + 2(-4x + 12) = 18
6x - 8x + 24 = 18
-2x = -6
x = 3

Plug the value 3 into x for y = -4x + 12 in order to find y
-4(3) + 12 = y, y = 0

Solution: x = 3, y = 0
User Stewsha
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3.1k points