Practice Systems of Equations in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Two or more equations sharing the same variables, where the solution must satisfy all equations simultaneously.
Where two lines cross—the point that satisfies both equations.
Example 1
easySolve the system: x + y = 10 and x - y = 4.
Example 2
mediumSolve the system: y = 2x + 1 and 3x + y = 11.
Example 3
hardSolve the system: 2x + 3y = 12 and x - y = 1.
Example 4
easySolve: x + y = 8 and x = 3.
Example 5
hardSolve: 2x + 3y = 12 and 4x - y = 5.