Systems of Equations Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

easy
Solve: x+y=8x + y = 8 and x=3x = 3.

Solution

  1. 1
    Substitute x=3x = 3 into x+y=8x + y = 8: 3+y=83 + y = 8.
  2. 2
    Solve: y=5y = 5.

Answer

x=3,y=5x = 3, \quad y = 5
When one variable is already known, substitute directly into the other equation to find the remaining variable.

About Systems of Equations

Two or more equations sharing the same variables, where the solution must satisfy all equations simultaneously.

Learn more about Systems of Equations →

More Systems of Equations Examples

Example 1 easy

Solve the system: [formula] and [formula].

Example 2 medium

Solve the system: [formula] and [formula].

Example 3 hard

Solve the system: [formula] and [formula].

Example 5 hard

Solve: [formula] and [formula].

← All Systems of Equations Examples Systems of Equations Concept