How do you solve the following system?: # -x+6y= - 2 , 5x - 2y= 3 #

1 Answer
May 7, 2017

Answer:

Make the first equation #x=6y+2# and substitute into the second equation.

Explanation:

By adding x and 2 to both sides of the first equation, we get:
#x=6y+2#
Now we substitute this expression of x into the second equation to get:
#5(6y+2)-2y=3# which we can distribute the 5 on the left hand side to get:
#30y+10-2y=3# which we combine the y-terms on the left hand side and subtract 10 from both sides:
#28y=-7# by dividing both sides by 28, we get:
#y=-1/4#

By substituting this value of y into the #x=6y+2# equation, we get:
#x=6(-1/4)+2#
#x=-3/2+2#
#x=1/2#
Therefore, our answer is the coordinate point #(1/2, -1/4)#