Question

Solve the system of equations.
3x + 4y = -23
X = 3y + 1

Answer 1

`x=-5\\y=-2`

Explanation:

`3x+4y=-23\\x=3y+1`

Replace x in the equation.

`3x+4y=-23\\3(3y+1)+4y=-23\\9y+3+4y=-23\\13y+3=-23\\13y=-23-3\\13y=-26\\y=-(26)/(13)\\ y=-2`

Now replace y in either equation.

`x=3y+1\\x=3(-2)+1\\x=-6+1\\x=-5`