방정식과 부등식 전체 문제

Use Cramer’s Rule to Solve Systems of Equations

In the following exercises, solve each system of equations using Cramer’s rule

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

Use Cramer’s Rule to Solve Systems of Equations

In the following exercises, solve each system of equations using Cramer’s rule

$\left\{\begin{array}{l}x+y-3z=-1 \\ y-z=0 \\ -x+2y=1\end{array}\right.$

Use Cramer’s Rule to Solve Systems of Equations

In the following exercises, solve each system of equations using Cramer’s rule

$\left\{\begin{array}{l}3x+4y-3z=-2 \\ 2x+3y-z=-12 \\ x+y-2z=6\end{array}\right.$

Solve Applications Using Determinants

In the following exercises, determine whether the given points are collinear.

$(0,2),$ $(-1,-1),$ and $(-2,4)$

Determine Whether an Ordered Pair is a Solution of a System of Linear Inequalities

In the following exercises, determine whether each ordered pair is a solution to the system.

$\left\{\begin{array}{l}4x+y>6 \\ 3x-y\le 12\end{array}\right.$

ⓐ $(2,-1)$ ⓑ $(3,-2)$

Determine Whether an Ordered Pair is a Solution of a System of Linear Inequalities

In the following exercises, determine whether each ordered pair is a solution to the system.

$\left\{\begin{array}{l}y>\frac{1}{3}x+2 \\ x-\frac{1}{4}y\le 10\end{array}\right.$

ⓐ $(6,5)$ ⓑ $(15,8)$

Solve a System of Linear Inequalities by Graphing

In the following exercises, solve each system by graphing.

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

Solve a System of Linear Inequalities by Graphing

In the following exercises, solve each system by graphing.

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

Solve a System of Linear Inequalities by Graphing

In the following exercises, solve each system by graphing.

$\left\{\begin{array}{l}2x-3y<6 \\ 3x+4y\ge 12\end{array}\right.$

Solve a System of Linear Inequalities by Graphing

In the following exercises, solve each system by graphing.

$\left\{\begin{array}{l}y\le -\frac{3}{4}x+1 \\ x\ge -5\end{array}\right.$

Solve a System of Linear Inequalities by Graphing

In the following exercises, solve each system by graphing.

$\left\{\begin{array}{l}x+3y<5 \\ y\ge -\frac{1}{3}x+6\end{array}\right.$

Solve a System of Linear Inequalities by Graphing

In the following exercises, solve each system by graphing.

$\left\{\begin{array}{l}y\ge 2x-5 \\ -6x+3y>-4\end{array}\right.$

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

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

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

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

In the following exercises, solve each system of equations. Use either substitution or elimination.

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

In the following exercises, solve each system of equations. Use either substitution or elimination.

$\left\{\begin{array}{l}-3x+4y=25 \\ x-5y=-23\end{array}\right.$

In the following exercises, solve each system of equations. Use either substitution or elimination.

$\left\{\begin{array}{l}x+y-z=-1 \\ 2x-y+2z=8 \\ -3x+2y+z=-9\end{array}\right.$

Solve the system of equations using a matrix.

$\left\{\begin{array}{l}2x+y=7 \\ x-2y=6\end{array}\right.$

Solve the system of equations using a matrix.

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

Solve using Cramer’s rule.

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