Mathematics Grade 4 15 min

Solve a system of equations in three variables using elimination

Solve a system of equations in three variables using elimination

What you'll learn

  • Solve systems of three linear equations in three variables by strategically applying the elimination method to reduce the system to two equations in two variables with 80% accuracy on a formative assessment.
  • Explain the rationale behind each step in the elimination method, justifying why specific variables are targeted for elimination based on coefficient relationships with complete sentences in a written explanation.
  • Identify inconsistent and dependent systems of three linear equations in three variables after applying the elimination method and justify the classification based on the resulting equations.
  • Apply the solution of a three-variable system of equations to solve a real-world application problem, demonstrating the ability to translate the problem into a system of equations and interpret the solution in the context of the problem.

Tutorial Preview

1

If 🍓+🍇=10 and 🍓+🍓+🍇=15, what is 🍓?

2

If 🍋+🍋=8 and 🍋+🥑=12, what is 🥑?

3

Find 🥥. Given: 🥝=2, 🥝+🍍=7, and 🍍+🥥=11.

Sample Practice Questions

Easy
If ⚽️+🎈=4 and ⚽️+⚽️+🎈=6, what is ⚽️?
0.1
1.2
2.3
3.4
Easy
If ⭐️+⭐️=4 and ⭐️+✏️=5, what is ✏️?
0.1
1.2
2.3
3.4
Easy
If 🍎=1, 🍎+🍌=4, and 🍌+🍊=6, what is 🍊?
0.1
1.2
2.3
3.4

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

Solve a system of equations in three variables using elimination is a Grade 4 Mathematics lesson on ExcelOS.

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

You'll be able to: Solve systems of three linear equations in three variables by strategically applying the elimination method to reduce the system to two equations in two variables with 80% accuracy on a formative assessment; Explain the….

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

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

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

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