Question

Question #82fd8

Answer 1

`(x,y)=(-3,-13)`

Explanation:

Given
[1]`color(white)("XXX")color(blue)x+color(red)y=-16`
[2]`color(white)("XXX")color(red)y=color(red)(5x+2)`

Substituting for `color(red)y` from [2] into [1]
[3]`color(white)("XXX")color(blue)x+color(red)(5x+2)=-16`

[4]`color(white)("XXX")6x=-18`

[5]`color(white)("XXX")color(blue)x=color(blue)(-3)`

Substituting for `color(blue)x` in [1]
[6]`color(white)("XXX")color(blue)(-3)+color(red)y=-16`

[7]`color(white)("XXX")color(red)y =color(red)(-13)`