What is the solution of the system of equations x - y = 8 and x + y = 4

Gunsaz
2022-09-08
Answered

What is the solution of the system of equations x - y = 8 and x + y = 4

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tona6v

Answered 2022-09-09
Author has **6** answers

The system of equations x - y = 8 and x + y = 4 has to be solved for x and y.

Add the two equations, x - y + x + y = 8 + 4

$$\Rightarrow 2x=12\phantom{\rule{0ex}{0ex}}\Rightarrow x=6\phantom{\rule{0ex}{0ex}}x-y=6-y=8\phantom{\rule{0ex}{0ex}}\Rightarrow y=-2$$

The solution of the given system of equations is x = 6 and y = -2

Add the two equations, x - y + x + y = 8 + 4

$$\Rightarrow 2x=12\phantom{\rule{0ex}{0ex}}\Rightarrow x=6\phantom{\rule{0ex}{0ex}}x-y=6-y=8\phantom{\rule{0ex}{0ex}}\Rightarrow y=-2$$

The solution of the given system of equations is x = 6 and y = -2

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