What is the value of `x` in the solution to this system of equations?

`2x+4y=-17`

`y=-3x+2`

1 answer

To find the value of `x`, we can substitute the value of `y` from the second equation into the first equation and solve for `x`.

Substitute `y=-3x+2` into the first equation:
`2x+4(-3x+2)=-17`
`2x-12x+8=-17`
`-10x+8=-17`
`-10x=-25`
`x=2.5`

Therefore, the value of `x` in the solution to this system of equations is `2.5`.