### Home > CCA2 > Chapter 10 > Lesson 10.3.1 > Problem10-153

10-153.

Solve the system at right for $(x, y, z)$.

Add the first and second equation to eliminate the $y$-term.

Multiply the second equation by $2$ and then add it to the last equation.

Use your equations from Steps 1 and 2 to solve a system with $x$ and $z$.
Then use your $x$- and $z$-values to solve for $y$ in any of the three given equations.

$2x + y - 2z = 0$

$x - y - 4z = -3$

$3x + 2y + 2z = -1$