Mathematics Grade 6 15 min

Solve a system of equations using elimination

Solve a system of equations using elimination

What you'll learn

  • Solve systems of three linear equations in three variables using the elimination method with 80% accuracy on a summative assessment.
  • Identify and explain the conditions under which the elimination method is most efficient for solving a given system of linear equations in a written response with complete justification.
  • Apply the elimination method to solve real-world problems modeled by systems of linear equations, demonstrating correct setup and solution procedures in a group project.
  • Analyze a system of equations to determine if it has a unique solution, no solution, or infinitely many solutions after attempting to solve by elimination, justifying the conclusion based on the resulting equations.

Tutorial Preview

1

Solve the system: x + y = 5 and x - y = 1

2

Solve the system: 2a + b = 7 and a + b = 5

3

Solve the system: m + 2n = 8 and 3m + n = 9

Sample Practice Questions

Easy
Solve the system: x + y = 3 and x - y = 1.
0.x=2, y=1
1.x=1, y=2
2.x=3, y=0
3.x=0, y=3
Easy
Solve the system: a + b = 4 and a - b = 2.
0.a=1, b=3
1.a=2, b=2
2.a=3, b=1
3.a=4, b=0
Easy
Solve the system: 2x + y = 5 and x + y = 3.
0.x=1, y=2
1.x=2, y=1
2.x=3, y=0
3.x=0, y=3

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Frequently asked questions

What grade level is "Solve a system of equations using elimination"?

Solve a system of equations using elimination is a Grade 6 Mathematics lesson on ExcelOS.

What will I learn in Solve a system of equations using elimination?

You'll be able to: Solve systems of three linear equations in three variables using the elimination method with 80% accuracy on a summative assessment; Identify and explain the conditions under which the elimination method is most efficient for….

Is "Solve a system of equations using elimination" free to practice?

Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.

How many practice questions are included with Solve a system of equations using elimination?

This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.

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