Answer:
[tex]x=-3[/tex]
[tex]y=6[/tex]
Step-by-step explanation:
Elimination method:
[tex]2x+7y=36[/tex]
[tex]6x-7y=-60[/tex]
Add these equation to eliminate y:
[tex]8x=-24[/tex]
Then solve [tex]8x=-24[/tex] for x:
[tex]8x=-24[/tex]
[tex]\frac{8x}{8} =\frac{-24}{8}[/tex]
[tex]x=-3[/tex]
Add the value of x to solve y:
[tex]2x+7y=36[/tex]
Substitute [tex]-3[/tex] for x in [tex]2x+7y=36[/tex]
[tex](2)(-3)+7y=36[/tex]
[tex]7y-6=36[/tex]
[tex]7y=36+6[/tex]
[tex]7y=42[/tex]
[tex]y=42/7\\[/tex]
[tex]y=6[/tex]
{ [tex]x=-3[/tex] and [tex]y=6[/tex] }
hope this helps....
