연립일차방정식

For the following exercises, solve each system by any method.

$\begin{array}{c}7x-4y=\frac{7}{6} \\ 2x+4y=\frac{1}{3}\end{array}$

For the following exercises, solve each system by any method.

$\begin{array}{c}3x+6y=11 \\ 2x+4y=9\end{array}$

For the following exercises, solve each system by any method.

$\begin{array}{c}\, \frac{7}{3}x-\frac{1}{6}y=2 \\ -\frac{21}{6}x+\frac{3}{12}y=-3\end{array}$

For the following exercises, solve each system by any method.

$\begin{array}{c}\frac{1}{2}x+\frac{1}{3}y=\frac{1}{3} \\ \frac{3}{2}x+\frac{1}{4}y=-\frac{1}{8}\end{array}$

For the following exercises, solve each system by any method.

$\begin{array}{c}2.2x+1.3y=-0.1 \\ 4.2x+4.2y=2.1\end{array}$

For the following exercises, solve each system by any method.

$\begin{array}{c}0.1x+0.2y=2 \\ 0.35x-0.3y=0\end{array}$

For the following exercises, use the intersect function on a graphing device to solve each system. Round all answers to the nearest hundredth.

$\begin{array}{c}\, 0.1x+0.2y=0.3 \\ -0.3x+0.5y=1\end{array}$

For the following exercises, use the intersect function on a graphing device to solve each system. Round all answers to the nearest hundredth.

$\begin{array}{c}-0.01x+0.12y=0.62 \\ \,0.15x+0.20y=0.52\end{array}$

For the following exercises, use the intersect function on a graphing device to solve each system. Round all answers to the nearest hundredth.

$\begin{array}{c}\,0.5x+0.3y=4 \\ 0.25x-0.9y=0.46\end{array}$

For the following exercises, use the intersect function on a graphing device to solve each system. Round all answers to the nearest hundredth.

$\begin{array}{c}\,0.15x+0.27y=0.39 \\ -0.34x+0.56y=1.8\end{array}$

For the following exercises, use the intersect function on a graphing device to solve each system. Round all answers to the nearest hundredth.

$\begin{array}{c} \\ -0.71x+0.92y=0.13 \\ \,0.83x+0.05y=2.1\end{array}$

For the following exercises, solve each system in terms of $A,B,C,D,E,$ and $F$ where $A-F$ are nonzero numbers. Note that $A\ne B$ and $AE\ne BD.$

$\begin{array}{c}x+y=A \\ x-y=B\end{array}$

For the following exercises, solve each system in terms of $A,B,C,D,E,$ and $F$ where $A-F$ are nonzero numbers. Note that $A\ne B$ and $AE\ne BD.$

$\begin{array}{c}x+Ay=1 \\ x+By=1\end{array}$

For the following exercises, solve each system in terms of $A,B,C,D,E,$ and $F$ where $A-F$ are nonzero numbers. Note that $A\ne B$ and $AE\ne BD.$

$\begin{array}{c}Ax+y=0 \\ Bx+y=1\end{array}$

For the following exercises, solve each system in terms of $A,B,C,D,E,$ and $F$ where $A-F$ are nonzero numbers. Note that $A\ne B$ and $AE\ne BD.$

$\begin{array}{c}Ax+By=C \\ x+y=1\end{array}$

For the following exercises, solve each system in terms of $A,B,C,D,E,$ and $F$ where $A-F$ are nonzero numbers. Note that $A\ne B$ and $AE\ne BD.$

$\begin{array}{c}Ax+By=C \\ Dx+Ey=F\end{array}$

For the following exercises, solve for the desired quantity.

A musician charges $C(x)=64x+20,000$ where $x$ is the total number of attendees at the concert. The venue charges $80 per ticket. After how many people buy tickets does the venue break even, and what is the value of the total tickets sold at that point?

For the following exercises, use a system of linear equations with two variables and two equations to solve.

Find two numbers whose sum is 28 and difference is 13.

For the following exercises, use a system of linear equations with two variables and two equations to solve.

A number is 9 more than another number. Twice the sum of the two numbers is 10. Find the two numbers.

For the following exercises, use a system of linear equations with two variables and two equations to solve.

276 students enrolled in an introductory chemistry class. By the end of the semester, 5 times the number of students passed as failed. Find the number of students who passed, and the number of students who failed.