SOLUTION: Systems of Equations Elimination No Multiplication -5x=y+12 0=3y-24-3x

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Question 905282: Systems of Equations Elimination No Multiplication
-5x=y+12
0=3y-24-3x
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
If either of the coefficients for a variable do not match then multiplication will be needed.

system%28-5x=y%2B12%2C0=3y-24-3x%29

system%28-5x-y=12%2C-3x%2B3y=24%29

system%285x%2By=-12%2C3x-3y=-24%29

MULTIPLY both members of the second equation by highlight%281%2F3%29.

highlight_green%28system%285x%2By=-12%2Cx-y=-8%29%29

You can eliminate the y in THAT system WITHOUT using MULTIPLICATION, simply because the coefficients' absolute values are 1. Just sum the left members and sum the right members, and solve for x.

To solve for y using elimination will be different: MULTIPLY the second equation by 5, and subtract one equation from the other, and then find y. You do it!