Question 905282
If either of the coefficients for a variable do not match then multiplication will be needed.


{{{system(-5x=y+12,0=3y-24-3x)}}}


{{{system(-5x-y=12,-3x+3y=24)}}}


{{{system(5x+y=-12,3x-3y=-24)}}}


MULTIPLY both members of the second equation by {{{highlight(1/3)}}}.


{{{highlight_green(system(5x+y=-12,x-y=-8))}}}


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!