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Algebra L4-2 & L4-3 Quiz v2

By Sam Schneider
Last updated about 1 year ago
7 Questions

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.

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}