91Ó°ÊÓ

When you use linear combinations to solve a linear system, what is the purpose of using multiplication as a first step?

When solving a system of linear equations, how do you decide which variable to isolate in Step 1 of the substitution method?

Choose a method to solve the linear system. Explain your choice. $$ \begin{array}{r} {2 x+y=0} \\ {x+y=5} \end{array} $$

Estimate the solution of the linear system graphically. Then check the solution algebraically. $$ \begin{aligned} &y=-x+3\\\ &y=x+1 \end{aligned} $$

Graph the system of linear inequalities. $$ \begin{aligned} &x>-2\\\ &y \geq-2\\\ &y<4 \end{aligned} $$

Estimate the solution of the linear system graphically. Then check the solution algebraically. $$ \begin{aligned} &y=-2 x+6\\\ &y=2 x+2 \end{aligned} $$

Match the situation with the corresponding linear system. You buy 5 pairs of socks for 19 dollar. The wool socks cost 5 dollar per pair and the cotton socks cost 3 dollar per pair.

You are selling tickets for a high school play. Student tickets cost \(\$4\) and general admission tickets cost \(\$6\). You sell 525 tickets and collect \(\$2876\). Use the following verbal model to find how many of each type of ticket you sold.

Match the situation with the corresponding linear system. You have only 1 dollar bills and 5 dollar bills in your wallet. There are 7 bills worth a total of 19 dollar. $$ A. x+y=7 x+3 y=19$$ $$B. x+y=7 x+5 y=19$$ $$C. x+y=5 3 x+5 y=19$$

Plot the points and draw line segments connecting the points to create the polygon. Then write a system of linear inequalities that defines the polygonal region. Trapezoid: \((-1,1),(1,3),(4,3),(6,1)\)