Question

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

Answer 1

Answer:

$x=-5\\y=-2$

Step-by-step explanation:

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

Replace x in the equation.

$3x+4y=-23\\3(3y+1)+4y=-23\\9y+3+4y=-23\\13y+3=-23\\13y=-23-3\\13y=-26\\y=-\frac{26}{13}\\ y=-2$

Now replace y in either equation.

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