Question

Given the system of equations, what is the solution?

x + 2y = 7
x - 2y = -1


{(-8, -12)}
{(3, 2)}
{(-4, 6)}

Answer 1

`\large\boxed{x=3\ and\ y=2\to(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}\\.\qquad2x=6\qquad\text{ivide both sides by 2}\\.\qquad 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 side by 2}\\\\y=2`