91Ó°ÊÓ

Classify the following statements as either true or false. When the elimination method yields an equation that is never true, the system has no solution.

Classify each of the following statements as either true or false. When solving a system of two equations algebraically leads to an equation that is always true, the system has an infinite number of solutions.

Solve each system using the substitution method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. $$ \begin{aligned} x+y &=5 \\ y &=x+3 \end{aligned} $$

Solve using the elimination method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. \(x-y=6\) \(x+y=12\)

Two angles are supplementary. One angle is \(3^{\circ}\) less than twice the other. Find the measures of the angles. (GRAPH CAN"T COPY)

Classify each of the following statements as either true or false. The graphs of the equations in a system of two equations could be parallel lines.

Two angles are complementary. The sum of the measures of the first angle and half the second angle is \(64^{\circ} .\) Find the measures of the angles. (GRAPH CANT COPY)

Solve using the elimination method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. \(x+y=3\) \(x-y=7\)

Solve each system using the substitution method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. $$ \begin{aligned} x+y &=9 \\ x &=y+1 \end{aligned} $$

Solve each system using the substitution method. If a system has an infinite number of solutions, use set-builder notation to write the solution set. If a system has no solution, state this. $$ \begin{aligned} x &=y+1 \\ x+2 y &=4 \end{aligned} $$