Learn to solve a system of equations using substitution

Learn to solve a system of equations using substitution

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve systems of equations using the substitution method. It begins by introducing the method and discussing when it is most effective to use, particularly when a variable has a coefficient of 1 or -1. The tutorial then provides a step-by-step example of solving a system using substitution, including isolating a variable and substituting it into another equation. The process is compared to function evaluation, and the tutorial concludes by identifying the solution type as consistent and independent, with the intersection point of the equations.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the substitution method used for in solving systems of equations?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

When is it beneficial to use the substitution method according to the teacher?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the importance of having a variable with a coefficient of 1 when using substitution.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps did the teacher take to isolate the variable in the equation?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the teacher demonstrate substituting a value into an equation?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the relationship between the values of X and Y in the context of the system of equations discussed.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the teacher conclude about the solution of the system of equations?

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