Question

Which ordered pair is a solution to the system -23x -7y= -109 -21x -8y= -114​

Answer 1

x = 2, y = 9

Explanation:

`\left\{\begin{array}{ccc}-23x-7y=-109&|\text{multiply both sides by (-8)}\\-21x-8y=-114&|\text{multiply both sides by 7}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}184x+56y=872\\-147x-56y=-789\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad37x=74\qquad\text{divide both sides by 37}\\.\qquad\boxed{x=2}\\\text{Put the value of x to the first equation:}\\\\-23(2)-7y=-109\\-46-7y=-109\qquad\text{add 46 to both sides}\\-7y=-63\qquad\text{divide both sides by (-7)}\\\boxed{y=9}`