∑ AmyMath
← Mathematics – Grade 8
CLASS 8 · LEARNING KNOWLEDGE

Linear systems of equations

How it works

Two linear equations can be solved by substitution, equating, or addition. A solution must satisfy both equations. The lines can intersect, be parallel, or coincide.

Note
Substitution: take y from one equation into the other.

An example

Solve the system x+y=-2 and x−y=2. Find x. Provide only the solution.

Add equations: 2x=0. Thus x=0; then y=-2. Result: 0.

Try it yourself now

50 Exercises · three difficulty levels · selection and number input

To the learning unit →

Own explanation and own practice exercises by AmyMath. Subject reference framework: KMK Educational Standards Mathematics ESA/MSA. The topic assignment may vary by federal state.