### Home > CCA2 > Chapter 9 > Lesson 9.2.1 > Problem9-53

9-53.

Solve the system of equations below.

$8x - 3y - 2z = -8$
$-2x + 8y + 7z = 26$
$4x + y - 5z = 23$

Multiply the second equation by $4$ and add to the first.

$29y + 26z = 96$ (Equation #$4$)

Multiply the second equation by $2$ and add to the third.

$17y + 9z = 75$ (Equation #$5$)

Multiply the fifth equation by $26$.

$442y + 234z = 1950$

Multiply the fourth equation by $-9$.

$-261y - 234z = -864$

Subtract the two equations eliminating $y$. Solve for $y$.

$181y = 1086$
$y = 6$

Use substitution to find $x$ and $y$. Check your answers in all three equations!