Question

Solve the system of equations by finding the ordered pair. X + 2y =11 and 2x - 3y = -20

Answer 1

Given:

$\begin{gathered} x+2y=11 \\ 2x-3y=-20 \end{gathered}$

Find: the ordered pair

Explanation:

$\begin{gathered} x+2y=11..............................(1) \\ 2x-3y=-20.........................(2) \end{gathered}$

multiply equation (1) by 2

$\begin{gathered} 2x+4y=22 \\ 2x-3y=-20 \\ -\text{ + +} \\ 7y=42 \\ y=6 \\ x+2\times6=11 \\ x=11-12 \\ x=-1 \end{gathered}$

the ordered pair is (-1,6).

Final answer: the ordered pair will be (-1,6).