SOLUTION: find the point of intersection for the lines below using the substitution 3x+2y=4 y=1-2x

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Question 55615: find the point of intersection for the lines below using the substitution
3x+2y=4
y=1-2x
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+3x%2B2y=4+
+y=1-2x+
Substitute the second equation into the first
+3x%2B2%281-2x%29=4+
Distribute
+3x%2B2+-4x+=4+
combine like terms on the left
+2+-+1x+=+4+
subtract 2 from both sides
+-1x+=+2+
divide both sides by -1
+x+=+-2+

Plug this value bac into the 2nd equation
+y=1-2x+
+y=1-2%28-2%29+
Multiply
+y=1%2B4+
Add
+y+=5+

The point of intersection of the two lines is (-2,5)