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Grade 8 Algebra: Solving Systems by Elimination

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Level 1

Add or subtract directly

  1. 1. Solve by elimination:
    {x+y=10x−y=2\begin{cases} x + y = 10 \\ x - y = 2 \end{cases}
  2. 2. Solve by elimination:
    {x+y=8x−y=4\begin{cases} x + y = 8 \\ x - y = 4 \end{cases}
  3. 3. Solve by elimination:
    {2x+y=11x−y=1\begin{cases} 2x + y = 11 \\ x - y = 1 \end{cases}
  4. 4. Solve by elimination:
    {x+3y=10−x+y=2\begin{cases} x + 3y = 10 \\ -x + y = 2 \end{cases}
  5. 5. Solve by elimination:
    {3x+y=14x+y=6\begin{cases} 3x + y = 14 \\ x + y = 6 \end{cases}
  6. 6. Solve by elimination:
    {2x+5y=162x+y=8\begin{cases} 2x + 5y = 16 \\ 2x + y = 8 \end{cases}
  7. 7. Solve by elimination:
    {x+2y=7−x+3y=8\begin{cases} x + 2y = 7 \\ -x + 3y = 8 \end{cases}
  8. 8. Solve by elimination:
    {4x−y=92x+y=9\begin{cases} 4x - y = 9 \\ 2x + y = 9 \end{cases}