Question

Given the system of equations,

x + 2y = 7
x - 2y = -1
What is the solution?
{(-8, -12)}
or
{(3, 2)}
or
{(-4, 6)}

Answer 1

3,2

Explanation:

Answer 2

(3, 2)

Explanation:

`\underline{+\left\{\begin{array}{ccc}x+2y=7\\x-2y=-1\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad2x=6\qquad\text{divide both sides by 2}\\.\qquad\qquad\boxed{x=3}\\\\\\\text{Put the value of x to the first equation:}\\\\3+2y=7\qquad\text{subtract 3 from both sides}\\2y=4\qquad\text{divide both sides by 2}\\\boxed{y=2}`