Question

Y= -x+10
y= x+ 2

systems of equations

Answer 1

x = 4 and y = 6 → (4, 6)

Explanation:

`\left\{\begin{array}{ccc}y=-x+10\\y=x+2\end{array}\right\Rightarrow-x+10=x+2\qquad\text{subtract 10 from both sides}\\\\-x=x-8\qquad\text{subtract x from both sides}\\\\-2x=-8\qquad\text{divide both sides by (-2)}\\\\\boxed{x=4}\\\\\text{Put the value of x to the second equation:}\\\\y=4+2\\\\\boxed{y=6}`