Question

Using elimination, find the ordered pair.

6x + 15y = 15
-6x +7y = -37

Answer 1

x = -1 and y = 7/5

Explanation:

`\underline{+\left\{\begin{array}{ccc}6x+15y=15\\-6x+7y=-37\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad22x=-22\qquad\text{divide both sides by 22}\\.\qquad\qquad x=-1\\\\\text{Put the value of x to the first equation:}\\6(-1)+15y=15\\-6+15y=15\qquad\text{add 6 to both sides}\\15y=21\qquad\text{divide both sides by 15}\\y=(21)/(15)\to y=(7)/(5)`