SOLUTION: Solve and check the following systems by substitution [-2(x + 2) + 4(y – 3) = -34] [ 3(x + 4) – 5(y + 2) = 23 ]

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Question 401563: Solve and check the following systems by substitution
[-2(x + 2) + 4(y – 3) = -34]
[ 3(x + 4) – 5(y + 2) = 23 ]
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
-2(x + 2)+ 4(y –3)= -34
3(x + 4) –5(y + 2) = 23
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-2x -4 + 4y –12=-34
3x + 12 –5y -10 = 23
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-2x + 4y –16 = -34
3x –5y + 2 = 23
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-2x + 4y = -34+16.................(1)
3x–5y=23-2 ..................(2)

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-2x + 4y = -18.................(1)
3x –5y= 21 ..................(2)
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-2x + 4y = -18.................(1)..solve for x

-2x = -18-4y
x+=+-18%2F%28-2%29-4y%2F%28-2%29
x=9%2B2y...................substitute in .(2)

+3%289%2B2y%29+%965y=+21+..................(2)
+27%2B6y+%965y=+21+
+y=+21-27+
+y=+-6+........................now find x

x+=+9%2B2y
x+=+9%2B2%28-6%29

x+=+9-12
x+=+-3
so, your solutions are:x+=+-3 and +y=+-6+