Systems of linear equations

Substitution, elimination, word problems and classifying systems

The Systems of linear equations unit belongs to the Elementary algebra section of Math Mental and has 11 lessons: substitution, elimination, word problems and classifying systems.

Practice this unit

Sample questions

In the lesson, numbers change every session and the solution appears after you answer.

$\begin{cases} x + y = 10 \\ x - y = 4 \end{cases}$
Step by step
1. $\displaystyle 2x = 14$
2. $\displaystyle y = 10 - 7$
Answer $(7, 3)$
$\begin{cases} 2x + 4y = 6 \\ x + 2y = 3 \end{cases}$
Step by step
1. $\displaystyle L_1 = 2 \cdot L_2$
Answer $S = \{(3 - 2y,\, y)\}$

Lessons in this unit

Direct substitution Lesson, 8 questions
Substitution method Lesson, 8 questions
Elimination method Lesson, 8 questions
Elimination with scaling Lesson, 8 questions
Practice: substitution and elimination Practice, 10 questions
Problems with systems Lesson, 8 questions
Classifying systems Lesson, 8 questions
Ratios with signs Lesson, 8 questions
Rearranged systems Lesson, 8 questions
Review: systems Practice, 10 questions
Unit test 12 questions

Your first lesson takes five minutes

Create an account, pick where to start and keep your streak from today.

Start learning

Sample questions

Step by step

Step by step

Lessons in this unit

Your first lesson takes five minutes