### Home > PC3 > Chapter 2 > Lesson 2.2.3 > Problem2-89

2-89.

​Algebraically solve each system of equations and state the method you used. Check your answer graphically.

1. $4y-5x=-2$
$x-2y=-8$

Rewrite the first equation so that it is in standard form. Then multiply the second equation by $5$.

$−5x+4y=−2$
$5x−10y=−16$

1. $y=-\frac{3}{4}x+9$
$2x-y=2$​

$2x-\Big(-\frac{3}{4}x+9\Big)=2$