How do you solve the system of equations #14x - 9y = 2# and #x - 9y = - 50#?

1 Answer
Dec 8, 2016

Answer:

#(x,y)=color(green)(""(4,6))#

Explanation:

Given
[1]#color(white)("XXX")14x-9y=2#
[2]#color(white)("XXX")x-9y=-50#

Subtraction [2] from [1]
[3]#color(white)("XXX")13x =52#

Dividing both sides of [3] by #13#
[4]#color(white)("XXX")x=4#

Substituting #4# for #x# in [2]
[5]#color(white)("XXX")4-9y=-50#

Subtracting #4# from both sides of [5]
[6]#color(white)("XXX")-9y=-54#

Dividing both sides of [6] by #(-9)#
[7]#color(white)("XXX")y=6#