방정식과 부등식 전체 문제

Determine Whether an Ordered Pair is a Solution of a System of Equations.

In the following exercises, determine if the following points are solutions to the given system of equations.

$\left\{\begin{array}{l}x+y=8 \\ y=x-4\end{array}\right.$ ⓐ $(6,2)$ ⓑ $(9,-1)$

Solve a System of Linear Equations by Graphing

In the following exercises, solve the following systems of equations by graphing.

$\left\{\begin{array}{l}3x+y=6 \\ x+3y=-6\end{array}\right.$

Solve a System of Linear Equations by Graphing

In the following exercises, solve the following systems of equations by graphing.

$\left\{\begin{array}{l}x+4y=-1 \\ x=3\end{array}\right.$

Solve a System of Linear Equations by Graphing

In the following exercises, solve the following systems of equations by graphing.

$\left\{\begin{array}{l}2x-y=5 \\ 4x-2y=10\end{array}\right.$

Solve a System of Linear Equations by Graphing

In the following exercises, solve the following systems of equations by graphing.

$\left\{\begin{array}{l}-x+2y=4 \\ y=\frac{1}{2}x-3\end{array}\right.$

In the following exercises, without graphing determine the number of solutions and then classify the system of equations.

$\left\{\begin{array}{l}y=\frac{2}{5}x+2 \\ -2x+5y=10\end{array}\right.$

In the following exercises, without graphing determine the number of solutions and then classify the system of equations.

$\left\{\begin{array}{l}3x+2y=6 \\ y=-3x+4\end{array}\right.$

In the following exercises, without graphing determine the number of solutions and then classify the system of equations.

$\left\{\begin{array}{l}5x-4y=0 \\ y=\frac{5}{4}x-5\end{array}\right.$

Solve a System of Equations by Substitution

In the following exercises, solve the systems of equations by substitution.

$\left\{\begin{array}{l}3x-2y=2 \\ y=\frac{1}{2}x+3\end{array}\right.$

Solve a System of Equations by Substitution

In the following exercises, solve the systems of equations by substitution.

$\left\{\begin{array}{l}x-y=0 \\ 2x+5y=-14\end{array}\right.$

Solve a System of Equations by Substitution

In the following exercises, solve the systems of equations by substitution.

$\left\{\begin{array}{l}y=-2x+7 \\ y=\frac{2}{3}x-1\end{array}\right.$

Solve a System of Equations by Substitution

In the following exercises, solve the systems of equations by substitution.

$\left\{\begin{array}{l}y=-5x \\ 5x+y=6\end{array}\right.$

Solve a System of Equations by Substitution

In the following exercises, solve the systems of equations by substitution.

$\left\{\begin{array}{l}y=-\frac{1}{3}x+2 \\ x+3y=6\end{array}\right.$

Solve a System of Equations by Elimination

In the following exercises, solve the systems of equations by elimination

$\left\{\begin{array}{l}x+y=12 \\ x-y=-10\end{array}\right.$

Solve a System of Equations by Elimination

In the following exercises, solve the systems of equations by elimination

$\left\{\begin{array}{l}3x-8y=20 \\ x+3y=1\end{array}\right.$

Solve a System of Equations by Elimination

In the following exercises, solve the systems of equations by elimination

$\left\{\begin{array}{l}9x+4y=2 \\ 5x+3y=5\end{array}\right.$

Solve a System of Equations by Elimination

In the following exercises, solve the systems of equations by elimination

$\left\{\begin{array}{l}\frac{1}{3}x-\frac{1}{2}y=1 \\ \frac{3}{4}x-y=\frac{5}{2}\end{array}\right.$

Solve a System of Equations by Elimination

In the following exercises, solve the systems of equations by elimination

$\left\{\begin{array}{l}-x+3y=8 \\ 2x-6y=-20\end{array}\right.$

Choose the Most Convenient Method to Solve a System of Linear Equations

In the following exercises, decide whether it would be more convenient to solve the system of equations by substitution or elimination.

$\left\{\begin{array}{l}6x-5y=27 \\ 3x+10y=-24\end{array}\right.$

Choose the Most Convenient Method to Solve a System of Linear Equations

In the following exercises, decide whether it would be more convenient to solve the system of equations by substitution or elimination.

$\left\{\begin{array}{l}y=3x-9 \\ 4x-5y=23\end{array}\right.$