Posted by Joel on Tuesday, February 22, 2011 at 11:29am.
-3x + 4y = -19.5
-3x + y = -10.5
-3x + y = -10.5
+3x +3x
y = 3x - 10.5
-3x +4y = -19.5
-3x +4(3x -10.5) = -19.5
-3x + 4(3x) + 4(-10.5) = -16.5
-3x +12x - 42 = -16.5
9x - 42 = -16.5
+42 = + 42
9x = 42 - 19.5
9x = 22.5
9x / 9x= 22.5 / 9
x = 2.5
Plug x into the original equation to solve for y
y = 3x - 10.5
y = 3(2.5) - 10.5
y = 7.5 - 10.5
y = -3
Solution: (2.5, -3)
Check
-3x + 4y = -19.5 -3x + y = -10.5
-3(2.5) + 4(-3) = - 19.5 -3(2.5) + -3 = -10.5
-7.5 + (-12) = -19.5 -7.5 + (-3) = -10.5
-19.5 = -19.5 -10.5 = -10.5
True True
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