SOLUTION: Solve the following linear system using the substitution method and check your solutions. 3x+4y=-6 x-3y=-2

Question 793179: Solve the following linear system using the substitution method and check your solutions.

3x+4y=-6
x-3y=-2
Answer by waynest(281) (Show Source): You can put this solution on YOUR website!
x - 3y = -2
x - 3y + 3y = 3y - 2
x = 3y - 2
substitute for x in the first equation
3(3y -2) + 4y = -6
9y - 6 + 4y = -6
15y -6 + 6 = -6 + 6
15y = 0
15y/15 = 0/15
y = 0
solve for x
3x + 4(0) = -6
3x = -6
3x/3 = -6/3
x = -2
check:
3(-2) + 4(0) = -6
-6 = -6
-2 - 3(-) = -2
-2 = -2
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