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

What is the solution of the system of equations x - y = 8 and x + y = 4
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

tona6v
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
$⇒2x=12\phantom{\rule{0ex}{0ex}}⇒x=6\phantom{\rule{0ex}{0ex}}x-y=6-y=8\phantom{\rule{0ex}{0ex}}⇒y=-2$
The solution of the given system of equations is x = 6 and y = -2