How do you find the solution set for x-y=11, 3x+10y=-6?

1 Answer
Aug 6, 2015

Answer:

#(x,y) = (8,-3)#

Explanation:

[1]#color(white)("XXXX")##x-y=11#
[2]#color(white)("XXXX")##3x+10y = -6#

Multiply [1] by 3
[3]#color(white)("XXXX")##3x-3y = 33#

Subtract [3] from [2]
[4]#color(white)("XXXX")##13y = -39#

Divide [4] by 13
[5]#color(white)("XXXX")##y=-3#

Substitute #(-3)# for #y# in [1]
[6]#color(white)("XXXX")#x- (-3) = 11#

Simplify
[7]#color(white)("XXXX")##x+3 = 11#

Subtract 3 from both sides of [7]
[8]#color(white)("XXXX")##x=8#