Solving a linear system by using substitution

Solving a linear system by using substitution

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve linear systems with two variables using three methods: graphing, substitution, and elimination. It emphasizes the importance of having as many equations as variables. The substitution method is detailed, showing how to simplify equations to solve for one variable and then find the second variable. The tutorial concludes with verifying the solution by checking the equations.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the number of variables and the number of equations in a linear system?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the three methods mentioned for solving linear systems?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why substitution is considered an easier method when a variable is already solved.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you simplify the equation 3x + 2(x + 1) = 22?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What steps would you take to find the value of y after determining x in a linear system?

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