MathIsimple

Systems of Linear Equations

Learn to solve systems of linear equations using substitution and elimination methods.

8th Grade
Algebra
~45 min
🎮 Interactive Activity: Substitution Method

Solve systems using substitution!

2x + 3y = 7
1x + -1y = 1
🎮 Interactive Activity: Elimination Method

Solve systems by eliminating variables!

3x + +2y = 11
2x -1y = 3
1. What is a System of Equations?

📚 System Definition

A system of linear equations is two or more linear equations with the same variables. The solution is the point(s) where all equations are true simultaneously.

Example: x + y = 5
x - y = 1

Solution: x = 3, y = 2

2. Substitution Method
3. Elimination Method
4. Graphing Method
5. Types of Solutions
6. Real-World Applications
7. Worked Examples
8. Frequently Asked Questions

Practice Time!

Practice Quiz
10
Questions
0
Correct
0%
Score
1
Solve: x + y = 5, x - y = 1
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2
Which method is best for: y = 2x + 1, 3x + y = 10?
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3
Solve: 2x + 3y = 12, 4x - y = 5
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4
How many solutions does a system have if lines are parallel?
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5
If a system has infinite solutions, the equations are:
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6
Solve: 3x - 2y = 7, x + y = 4
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7
What does it mean if elimination gives 0 = 0?
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8
Solve: 5x + 2y = 16, 3x - y = 1
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9
Which is the solution to: 2x + y = 8, x - y = 1?
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10
What happens if both substitution and elimination give contradictory results?
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