Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.

-3x + y = 4
x + 3y = 22

Here's what I came up with (where did I go wrong)

-3x + y = 4
y = 4 - 3x

-3x + (4-3x) = 4
-3x + 1x = 4
-2x = 4
x= -2

-2x + 3(4 - 3x) = 22
-2x + 12 -9x = 22
-2x + 3x = 22
1x = 22
x = 21

2 answers

when you are using APE or addition property of inequality you should also change the sign of it. this is the part where you got wrong.-3x+y=4 it should be y=4+3x and not y=4-3x. notice the sign of your 3x. always remember that when you transfer a term its sign show be revised
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