Question

2x-y=60
6y=x
Solve the system using substitution. Check your solution.

Answer 1

`x = (360)/(11)`

`y = (60)/(11)`

Explanation:

Since 6y=x plug 6y in for x on the top equation.

`2(6y) - y = 60`

`12y - y = 60`

`11y = 60`

`y = (60)/(11)`

Plug y=60/11 into 6y=x

`6( (60)/(11) ) = x`

`(360)/(11) = x`

Plug 360/11 into 2x-y=60

`2( (360)/(11) ) - (60)/(11) = 60`

`(720)/(11) - (60)/(11) = 60`

`(660)/(11) = 60`

The identity is true