Grade 9 · Math

Solve a linear system by elimination

LET’S TRY ONE

Solve for x: 2x + y = 10, and x + y = 7.

3

Subtract the second equation from the first: 1x = 3, so x = 3.

Your turn!
Learning steps & teaching tips

Eliminate one variable to solve two simultaneous linear equations.

  1. Subtract corresponding sides when both equations have the same coefficient for one variable.
  2. Work through the example and explain why each operation is used.
  3. Estimate or use another method to check the result before choosing.

Try it together

Work with a partner: solve one example, explain the method, then change one number and predict what changes.

Subtract corresponding sides when both equations have the same coefficient for one variable.