Systems of Linear Equations Practice

Solve linear systems and identify unique, no-solution and infinitely-many-solution cases.

Math9th Grade

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01 Solve each system. Enter the ordered pair, or state no solution or infinite solutions.

Use exact answers: x^2 for powers, sqrt(2) for radicals and i for imaginary numbers. Separate solutions with commas.

1. Solve x + y = 3 and 2x + 2y = 7. Give the pair, no solution, or infinite.

2. Classify x + y = -9 and 2x + 2y = -18. Write infinite if the equations are dependent.

3. Solve x + y = 2 and x − y = 8. Give the ordered pair (x,y).

4. Solve x + y = -12 and x − y = 0. Give the ordered pair (x,y).

5. Solve x + y = 4 and x − y = -6. Give the ordered pair (x,y).

6. Solve x + y = -2 and x − y = 6. Give the ordered pair (x,y).

7. Solve x + y = -6 and 2x + 2y = -11. Give the pair, no solution, or infinite.

8. Classify x + y = 0 and 2x + 2y = 0. Write infinite if the equations are dependent.