91Ó°ÊÓ

Complete the solution to solve the system. Solve: \(\left\\{\begin{array}{l}{y=3 x} \\ {x-y=4}\end{array}\right.\) \(x-y=4 \quad\) This is the second equation. \(x-(\quad)=4\) \(-2 x=\) \(x=\) This is the x-value of the solution. \(y=3 x \quad\) This is the first equation. \(y=3(1)\) \(y=\) This is the \(y\) -value of the solution. The solution is \((\square, \quad)\)

Complete the solution to solve the system. \(\text { Solve: }\left\\{\begin{array}{l}{x+y=5} \\\\{x-y=-3}\end{array}\right.\) $$ \begin{aligned} &x+y=5\\\ &\begin{array}{r} {x-y=-3} \\\\\text{_______} {=2} \end{array} \end{aligned} $$ $$ x= \text{_______} $$ $$ \begin{array}{r} {x+y=5} \\ {+y=5} \\\\\text{_______} \end{array} $$ $$ y=\text{_______} $$

Complete the solution to solve the system. The system \(\left\\{\begin{array}{l}{a=3 b+2} \\ {a+3 b=8}\end{array}\right.\) was solved, and it was found that \(b=1\) and \(a=5 .\) Write the solution as an ordered pair.

Write each equation in \(A x+B y=C\) form: $$ \left\\{\begin{array}{l} {7 x+y+3=0} \\ {8 x+4=-y} \end{array}\right. $$

Determine whether the ordered pair is a solution of the given system of equations. $$ (1,1),\left\\{\begin{array}{l} {x+y=2} \\ {2 x-y=1} \end{array}\right. $$

Use the elimination method to solve each system. $$ \left\\{\begin{array}{l} {x+y=5} \\ {x-y=1} \end{array}\right. $$

Complementary Angles. Two angles are complementary. The measure of one angle is \(10^{\circ}\) more than three times the measure of the other. Find the measure of each angle.

Solve each system by substitution. See Example 1. $$ \left\\{\begin{array}{l} {y=2 x} \\ {x+y=6} \end{array}\right. $$

Solve each system by substitution. See Example 1. $$ \left\\{\begin{array}{l} {y=3 x} \\ {x+y=4} \end{array}\right. $$

Use the elimination method to solve each system. $$ \left\\{\begin{array}{l} {x-y=4} \\ {x+y=8} \end{array}\right. $$