Question

Soap using elimination what is negative 2X minus 4Y equals 22 and 10 X plus 4Y equals 18

Answer 1

Answer:

$x=5\\y=-8$

Step-by-step explanation:

Given equations:

A. $-2x-4y=22$

B. $10x+4y=18$

Using elimination to solve the given system.

We will add equation A and equation B in order to eliminate $y$

Adding equation A to equation B.

   $-2x-4y=22$

+ $10x+4y=18$

---------------------------------

$8x=40$

Dividing both sides by 8.

$\frac{8x}{8}=\frac{40}{8}$

$x=5$ (Answer)

Plugging in value of $x$ in equation B to evaluate $y$.

$10(5)+4y=18$

$50+4y=18$

Subtracting both sides by 50

$50+4y-50=18-50$

$4y=18-50$

$4y=-32$    

Dividing both sides by 4.

$\frac{4y}{4}=-\frac{32}{4}$

∴ $y=-8$ (Answer)