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If satisfies the system of equations above, what is the value of y ?

The system of equations above has solution (x, y). What is the value of x ?

$\frac{3}{2}y-\frac{1}{4}x=\frac{2}{3}-\frac{3}{2}y$

$\frac{1}{2}x+\frac{3}{2}=py+\frac{9}{2}$

In the given system of equations, $p$ is a constant. If the system has no solution, what is the value of $p$?

Hiro and Sofia purchased shirts and pants from a store. The price of each shirt purchased was the same and the price of each pair of pants purchased was the same. Hiro purchased 4 shirts and 2 pairs of pants for $86, and Sofia purchased 3 shirts and 5 pairs of pants for $166. Which of the following systems of linear equations represents the situation, if x represents the price, in dollars, of each shirt and y represents the price, in dollars, of each pair of pants?

$5x=15$

$-4x+y=-2$

The solution to the given system of equations is $\left(x,y\right)$. What is the value of $x+y$?

The graph of a system of linear equations is shown. What is the solution $\left(x,y\right)$ to the system?

A company that provides whale-watching tours takes groups of $21$ people at a time. The company’s revenue is $80$ dollars per adult and $60$ dollars per child. If the company’s revenue for one group consisting of adults and children was $\mathrm{1,440}$ dollars, how many people in the group were children?

At how many points do the graphs of the equations $y=x+20$ and $y=8x$ intersect in the xy-plane?

$y=3x$

$2x+y=12$

The solution to the given system of equations is $\left(x,y\right)$. What is the value of $5x$?

A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?

A petting zoo sells two types of tickets. The standard ticket, for admission only, costs $5. The premium ticket, which includes admission and food to give to the animals, costs $12. One Saturday, the petting zoo sold a total of 250 tickets and collected a total of $2,300 from ticket sales. Which of the following systems of equations can be used to find the number of standard tickets, s, and premium tickets, p, sold on that Saturday?

$x+y=18$

$5y=x$

What is the solution $\left(x,y\right)$ to the given system of equations?

$y=2x+10$

$y=2x-1$

At how many points do the graphs of the given equations intersect in the xy-plane?

$4x-6y=10y+2$

$ty=\frac{1}{2}+2x$

In the given system of equations, $t$ is a constant. If the system has no solution, what is the value of $t$?

Which of the following graphs in the xy-plane could be used to solve the system of equations above?

$x=10$

$y=x+21$

The solution to the given system of equations is $\left(x,y\right)$. What is the value of $y$?

$y=-\frac{1}{9}x$

$y=\frac{1}{2}x$

The solution to the given system of equations is $\left(x,y\right)$. What is the value of $x$?

A bus traveled on the highway and on local roads to complete a trip of $160 \text{miles}$. The trip took $4 \text{hours}$. The bus traveled at an average speed of $55 \text{miles} \text{per} \text{hour} \left(\text{mph}\right)$ on the highway and an average speed of $25 \text{mph}$ on local roads. If $x$ is the time, in hours, the bus traveled on the highway and $y$ is the time, in hours, it traveled on local roads, which system of equations represents this situation?

What is the solution to the given system of equations?

Which of the following points is the solution to the system of equations?

During a month, Morgan ran r miles at 5 miles per hour and biked b miles at 10 miles per hour. She ran and biked a total of 200 miles that month, and she biked for twice as many hours as she ran. What is the total number of miles that Morgan biked during the month?

$x+3=-2y+5$

$x-3=2y+7$

The solution to the given system of equations is $\left(x,y\right)$. What is the value of $2x$?

If the system of equations above has solution , what is the value of ?

In the xy-plane, the graph of intersects the graph of at the point . What is the value of a ?

In the system of equations below, a and c are constants.

If the system of equations has an infinite number of solutions , what is the value of a ?