Question

How do you solve `1/2x+2y=3, 6y+1=x` by substitution?

1. List item

Answer 1

I found:
`x=4`
`y=1/2`

Explanation:

Take the `x` expression from the second equation and substitute into the first:
`1/2*(color(red)(6y+1))+2y=3`
rearrange:
`6y+1+4y=6`
`10y=5`
`y=5/10=1/2`
go back to the second equation and substitute this value of `y`:
`x=6*color(blue)(1/2)+1=3+1=4`