Systems of Equations

Solve pairs of linear equations together.

10 questions, free, marked as you go with a worked explanation on every one.

What this covers

The questions

  1. Solve the system x + y = 10, x - y = 2. Find x.
  2. Using the same system (x + y = 10, x - y = 2), find y.
  3. Solve: 2x + y = 7 and x = 3. Find y.
  4. A system of two linear equations with no solution means the lines are:
  5. Solve: y = x + 1 and y = 2x - 3. Find x.
  6. Solve the system x + y = 8 and 2x - y = 4. Find x.
  7. Using the same system (x + y = 8 and 2x - y = 4), find y.
  8. A system of two linear equations with infinitely many solutions means the lines are:
  9. Solve: 3x - y = 10 and y = 5. Find x.
  10. A theatre sold 320 tickets and took in $2 930. Adult tickets cost $12 each and student tickets cost $7 each. How many adult tickets were sold?

Answer these free