How do you solve the following system: # -6x + 5y = 4 , x-10y=10 #?

1 Answer
moutar · Stefan V.
Jan 10, 2016

#x=-18/11#, #y=-64/55#

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 double the first equation we get:

#-12x + 10y = 8#

#x - 10y = 10#

Now if we add the two new equations, we will eliminate y and will be able to solve an equation in x.

#-11x = 18 implies x=-18/11#

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

#-6*-18/11 + 5y =4#
#108/11 +5y = 4#
#5y=-64/11#
#y=-64/55#

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