Algebra L4-2 & L4-3 Quiz v2

Nota Bene
This quiz asks you to use algebraic (equation-based) methods to find the solutions to systems of linear equations.

You Must
Use Substitution or Elimination to solve each problem.
Show your work, and ensure you detail enough steps to prove you solved the problem algebraically
Either explain \textit{\color{red}{why}} the solution set is infinite or empty, or produce the solution set.
You May
In a pinch, you can graph a system of equations \textit{\color{red}{by hand}} to verify your answer or help you answer.
You Must Not
Use any computer-assisted graphing, calculators, Desmos, etc.

1

Use substitution or elimination to find the solution to the system of equations.

y=-3x-\frac{5}{2}
y=-\frac{11}{9}x-\frac{125}{18}

1

Use substitution or elimination to find the solution to the system of equations.

30x+10y=700
50x-25y=750

1

Use substitution or elimination to find the solution to the system of equations.

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

1

Use substitution or elimination to find the solution to the system of equations.

4x+y=-12
x-3y=20

1

Use substitution or elimination to find the solution to the system of equations.

8x+y=-46
-x+2y=10
y=-x-4

1

Use substitution or elimination to find the solution to the system of equations.

y=\frac{7}{3}x+6
y=\frac{7}{3}x-9

1

Nota Bene

Use substitution or elimination to find the solution to the system of equations.y=-3x-\frac{5}{2}y=-\frac{11}{9}x-\frac{125}{18}

Use substitution or elimination to find the solution to the system of equations.30x+10y=70050x-25y=750

Use substitution or elimination to find the solution to the system of equations.x-3y=2x=\frac{1}{2}y-3

Use substitution or elimination to find the solution to the system of equations.4x+y=-12x-3y=20

Use substitution or elimination to find the solution to the system of equations.8x+y=-46-x+2y=10y=-x-4

Use substitution or elimination to find the solution to the system of equations.y=\frac{7}{3}x+6y=\frac{7}{3}x-9

Use substitution or elimination to find the solution to the system of equations.18x+7y=33y=-\frac{18}{7}x+\frac{33}{7}

Use substitution or elimination to find the solution to the system of equations.

y=-3x-\frac{5}{2}
y=-\frac{11}{9}x-\frac{125}{18}

Use substitution or elimination to find the solution to the system of equations.

30x+10y=700
50x-25y=750

Use substitution or elimination to find the solution to the system of equations.

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

Use substitution or elimination to find the solution to the system of equations.

4x+y=-12
x-3y=20

Use substitution or elimination to find the solution to the system of equations.

8x+y=-46
-x+2y=10
y=-x-4

Use substitution or elimination to find the solution to the system of equations.

y=\frac{7}{3}x+6
y=\frac{7}{3}x-9

Use substitution or elimination to find the solution to the system of equations.

18x+7y=33
y=-\frac{18}{7}x+\frac{33}{7}