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Elimination: erasing a variable — Homework

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Elimination: erasing a variable — Homework

Solve each system by elimination. Show whether you added or subtracted (or multiplied first), and check your answer in both original equations.

  1. 1.Solve: x + y = 14 and x - y = 6.
  2. 2.Solve: 2x + y = 13 and x - y = 2.
  3. 3.Solve: 3x + 2y = 12 and x + 2y = 8.
  4. 4.Solve: 4x - y = 10 and 2x + y = 8.
  5. 5.Solve by multiplying one equation first: x + 3y = 11 and 2x - y = 1.
  6. 6.Explain why multiplying an equation by a constant does not change its solution.
🌲 Homeschool for the FutureNinth Grade · Math · week 13 homework