How do you solve the following system?: # -4x+6y=8 , x-5y=4 #

1 Answer
Jan 10, 2016

Answer:

#x=-32/7# #y=-12/7#

Explanation:

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.

#-14y = 24 implies y=-12/7#

Substitute this back into one of the original equations to find x.

#x-5*-12/7=4#
#x+60/7 = 4#
#x=4-60/7=-32/7#
#x=-32/7#