Question

How do you solve by the substitution method to find the ordered pair 2x + 5y = -11 and x = -4 - 4y?

Answer 1

Refer to Explanation

Explanation:

`2x+5y=-11->` Eqn 1
`x=-4-4y->` Eqn 2

Substitute Eqn 2 into Eqn 1:
`2(-4-4y)+5y=-11`
`-8-8y+5y=-11`
`-8-3y=11`
`-3y=-19`
`y=6 1/3`

Substitute `y=6 1/3` into Eqn 2:
`x=-4-4(6 1/3)`
`x=-21 1/3`

`:. x = -21 1/3, y= 6 1/3`