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Grade 8 Algebra: Solving Systems by Elimination

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Level 3

Multiply both; special cases

  1. 1. Solve by elimination:
    {2x+3y=123x+2y=13\begin{cases} 2x + 3y = 12 \\ 3x + 2y = 13 \end{cases}
  2. 2. Solve by elimination:
    {3x+4y=−12x−3y=−12\begin{cases} 3x + 4y = -1 \\ 2x - 3y = -12 \end{cases}
  3. 3. Solve by elimination:
    {5x−2y=43x+5y=21\begin{cases} 5x - 2y = 4 \\ 3x + 5y = 21 \end{cases}
  4. 4. Solve by elimination:
    {4x+3y=26x−5y=22\begin{cases} 4x + 3y = 2 \\ 6x - 5y = 22 \end{cases}
  5. 5. Solve by elimination:
    {2x+4y=6x+2y=5\begin{cases} 2x + 4y = 6 \\ x + 2y = 5 \end{cases}
  6. 6. Solve by elimination:
    {3x−6y=9x−2y=3\begin{cases} 3x - 6y = 9 \\ x - 2y = 3 \end{cases}
  7. 7. Solve by elimination:
    {7x+2y=−13x−4y=19\begin{cases} 7x + 2y = -1 \\ 3x - 4y = 19 \end{cases}
  8. 8. Solve by elimination:
    {12x+y=42x−3y=2\begin{cases} \tfrac{1}{2}x + y = 4 \\ 2x - 3y = 2 \end{cases}