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y =2x +1 
y = ax -8
In the system of equations above, a is a constant. If the system of equations has no solution, what is the value of a ?

8x + 7y =9
24x + 21y =27
For each real number r , which of the following points lies on the graph of each equation in the xy-plane for the given system?

One of the two equations in a linear system is 2x +6y =10. The system has no solution. Which of the following could be the other equation in the system?

2x +3y =7
10x +15y =35
For each real number r , which of the following points lies on the graph of each equation in the xy-plane for the given
system?

y = 6x + 18
One of the equations in a system of two linear equations is given. The system has no solution. Which equation could be the second equation in the system?

If a new graph of three linear equations is created using the system of equations shown and the equation x + 4y = -16, how many solutions (x , y ) will the resulting system of three equations have?

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

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

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

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 ?

In the system of equations below, a and c are constants.
\( \frac{1}{2}x+\frac{1}{3}y=\frac{1}{6} \) 
ax + y = c
If the system of equations has an infinite number of solutions ( x , y ) , what is the value of a ?

48x -72y =30y +24
\( ry=\frac{1}{6}-16x \) 
In the given system of equations, \( r \)is a constant. If the system has no solution, what is the value of \( r \)?

−3x + 21px = 84
In the given equation, p is a constant. The equation has no solution. What is the value of p ?

If a new graph of three linear equations is created using the system of equations shown and the equation x + 4y = −16, how many solutions (x, y) will the resulting system of three equations have?