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Magazine Problem 3
Graph the linear system below. Then decide if the ordered pair is a solution of the system. $$ \begin{array}{l} -x+y=-2 \\ 2 x+y=10 \end{array} $$ $$ (-4,-2) $$
Problem 3
After you graph a system of linear inequalities, how can you use algebra to check whether the correct region is shaded?
Problem 3
Use the linear system below. $$-x+y=5 \quad \text { Equation } 1$$ $$\frac{1}{2} x+y=8 \quad \text { Equation } 2$$ Substitute the expression into the other equation and solve for \(x .\)
Problem 4
Use the linear system below. $$-x+y=5 \quad \text { Equation } 1$$ $$\frac{1}{2} x+y=8 \quad \text { Equation } 2$$ Substitute the value of \(x\) into your equation from Exercise 2 . What is the solution of the linear system?
Problem 4
Choose a method to solve the linear system. Explain your choice. $$ \begin{aligned} &3 x+5 y=25\\\ &2 x-6 y=12 \end{aligned} $$
Problem 4
Explain the steps you would use to solve the system of equations using linear combinations. Then solve the system. $$\begin{aligned} &x+3 y=6\\\ &x-3 y=12 \end{aligned}$$
Problem 4
Graph the linear system below. Then decide if the ordered pair is a solution of the system. $$ \begin{array}{l} -x+y=-2 \\ 2 x+y=10 \end{array} $$ $$ (4,-2) $$
Problem 5
Choose a method to solve the linear system. Explain your choice.. $$ \begin{aligned} &2 x+y=0\\\ &x+y=5 \end{aligned} $$
Problem 5
Explain the steps you would use to solve the system of equations using linear combinations. Then solve the system. $$\begin{aligned} &x-3 y=0\\\ &x+10 y=13 \end{aligned}$$
Problem 5
Graph the linear system below. Then decide if the ordered pair is a solution of the system. $$ \begin{array}{l} -x+y=-2 \\ 2 x+y=10 \end{array} $$ $$ (-4,2) $$
