Question

What is the solution set for 7x + 5y = -46 and x = 8-8y?

Answer 1

The solutions are
`color(blue)(x=-8,y=2`

Explanation:

`7x + 5y = -46`......equation `1`

`x +8y=8`, multiplying this equation by `7`
`7x +56y=56`....equation `2`

Solving by elimination
Subtracting equation `2` from `1`
`cancel7x + 5y = -46`
`cancel(-7x)- 56y=-56`

`-51y=-102`
`color(blue)(y=2`

Finding `x` from equation `2`
`x +8y=8`
`x =8-8y`
`x =8-16`
`color(blue)(x =-8`