Learn how to solve a system using substitution

Learn how to solve a system using substitution

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the substitution method for solving equations. It begins by identifying the easiest variable to solve for, using inverse operations to isolate it. The tutorial demonstrates solving for Y, substituting its value into another equation, and then solving for X using the distributive property. Finally, it shows how to find the solution and express it as a coordinate point.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in the substitution method when solving equations?

Solve for all variables simultaneously

Ignore the operations involved

Select the variable that is easiest to isolate

Choose the variable with the most operations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to express Y in terms of X in the substitution method?

To avoid using inverse operations

To substitute it into another equation

To make the equation more complex

To eliminate the need for solving

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens when you substitute the expression for Y into another equation?

You solve for both X and Y simultaneously

You increase the number of variables

You create a new variable

You eliminate the variable Y

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After finding the value of X, what is the next step in the substitution method?

Solve for a new variable

Substitute X back to find Y

Graph the equation

Check for errors in calculations

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How should the final solution be represented in the substitution method?

As a polynomial

As a fraction

As a coordinate point

As a single number