Answer:
[tex]x=5\\y=-8[/tex]
Step-by-step explanation:
Given equations:
A. [tex]-2x-4y=22[/tex]
B. [tex]10x+4y=18[/tex]
Using elimination to solve the given system.
We will add equation A and equation B in order to eliminate [tex]y[/tex]
Adding equation A to equation B.
[tex]-2x-4y=22[/tex]
+ [tex]10x+4y=18[/tex]
---------------------------------
[tex]8x=40[/tex]
Dividing both sides by 8.
[tex]\frac{8x}{8}=\frac{40}{8}[/tex]
[tex]x=5[/tex] (Answer)
Plugging in value of [tex]x[/tex] in equation B to evaluate [tex]y[/tex].
[tex]10(5)+4y=18[/tex]
[tex]50+4y=18[/tex]
Subtracting both sides by 50
[tex]50+4y-50=18-50[/tex]
[tex]4y=18-50[/tex]
[tex]4y=-32[/tex]
Dividing both sides by 4.
[tex]\frac{4y}{4}=-\frac{32}{4}[/tex]
∴ [tex]y=-8[/tex] (Answer)
