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Question #82fd8

1 Answer

Feb 18, 2017

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

Explanation:

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

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

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

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

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

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

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