How do you solve the following system?: # -4x+6y=8 , x-5y=4 #
To solve by elimination you will need to make coefficients of x or y "match" so that when you add or subtract the equations one of the variables will be eliminated.
If we multiply the second equation by 4 we get:
#-4x + 6y = 8#
#4x - 20y = 16#
Now if we add the two new equations, we will eliminate x and will be able to solve an equation in y.
Substitute this back into one of the original equations to find x.