Mathematics Grade 5 15 min

Solve a system of equations using substitution

Solve a system of equations using substitution

What you'll learn

  • Solve systems of two linear equations in two variables using the substitution method, demonstrating the steps clearly and accurately in at least 8 out of 10 problems.
  • Identify the most efficient variable to isolate in a given system of equations to facilitate the substitution method, justifying the reasoning in writing for at least 3 different systems.
  • Explain the rationale behind the substitution method for solving systems of equations, including why it produces equivalent solutions, in a short paragraph with at least 3 supporting sentences.
  • Apply the substitution method to solve real-world problems modeled by systems of linear equations, correctly setting up the equations and finding accurate solutions in at least 2 word problems.

Tutorial Preview

1

Given y = 2 and x + y = 5. What is x?

2

Given y = x and x + y = 8. What is x?

3

Given y = 2x and x + y = 6. What is x?

Sample Practice Questions

Easy
Given y = 2 and x + y = 5. What is x?
0.2
1.3
2.5
3.7
Easy
Given b = 1 and a + b = 4. What is a?
0.1
1.3
2.4
3.5
Easy
Given z = 3 and y + z = 7. What is y?
0.3
1.4
2.7
3.10

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Frequently asked questions

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

Solve a system of equations using substitution is a Grade 5 Mathematics lesson on ExcelOS.

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

You'll be able to: Solve systems of two linear equations in two variables using the substitution method, demonstrating the steps clearly and accurately in at least 8 out of 10 problems; Identify the most efficient variable to isolate in a given….

Is "Solve a system of equations using substitution" 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 substitution?

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

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