Question

How do you solve the following system using substitution?: `7x+9y=3, x=14-4y`

Answer 1

I found:
`x=-6`
`y=5`

Explanation:

Take the second equation and substitute it for `x` into the first getting:
`7(color(red)(14-4y))+9y=3` and solve for `y`:
`98-28y+9y=3`
`19y=95`
`y=95/19=5`
substitute this back into the second:
`x=14-4(5)=14-20=-6`