Chapter 3: Systems of Equations and Inequalities

Solve each system of equations.

6.

$\begin{array}{l}r-3s+t=4\\ 3r-6s+9t=5\\ 4r-9s+10t=9\end{array}$

Solve each system of equations by graphing.

\[\begin{align}

& 6.\text{ 4}x-2y=22 \\

& 6x+9y=-3

\end{align}\]

Solve each system of equations by graphing

$\begin{array}{l}\text{4}x-2y=22\\ 6x+9y=-3\end{array}$

Solve each system of equations.

$\begin{array}{c}r-3s+t=4\\ 3r-6s+9t=5\\ 4r-9s+10t=9\end{array}$

Twenty-seven white cubes of the same size are put together to form a larger cube. The larger cube is painted red. How many of the smaller cubes have exactly one red face?

(A) 4

(B) 6

(C) 9

(D) 12

Solve each system of equations by using elimination
$\begin{array}{c}2r-3s=11\\ 2r+2s=6\end{array}$

Solve each system of inequalities by graphing.

$\begin{array}{c}6.\left|x-1\right|\le 2\\ x+y>2\end{array}$

Choose the letter of the term that best matches each phase.

6. A method of solving equations in which one variable is eliminated when the two equations are combined

Solve each system of inequalities. Sketch each graph on a sheet of paper.

2.$\begin{array}{l}y+3x\ge 6\\ y-2x\le 9\end{array}$

6: Solve each system of equation by graphing, substitution, or elimination.

$\begin{array}{c}3x+2y=18\\ y=6x-6\end{array}$