Answer to Question #157387 in Algebra for peyton

Question

2x + 5y = 17

6x - 5y = -9

Answer 1

Given:

$\begin{cases} 2x + 5y = 17\\ 6x - 5y = -9 \end{cases}$

Solution:

Adding the second equation to the first one in order to cancel out y:

$2x + 6x + 5y - 5y = 17 - 9$

$8x=8$

$x=1$

Substituting x=1 into the first equation:

$2*1 + 5y = 17$

$5y = 15$

$y = 3$

Answer:

$x=1, y =3$

Check:

$\begin{cases} 2*1 + 5*3 = 17\\ 6*1 - 5*3 = -9 \end{cases}$