How to use substitution to solve a system of equations

How to use substitution to solve a system of equations

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve a system of equations using substitution. It begins by identifying a variable with a coefficient of 1 and solving for it. The solution is then substituted into another equation, which is simplified to find the value of the second variable. The final solution is presented as a coordinate point, representing the intersection of the equations when graphed.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving for a variable with a coefficient of 1?

Rearrange the equation to isolate the variable

Divide both sides by 3

Add 5 to both sides

Multiply both sides by 2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After isolating Y, what should you do next in the process?

Add 10 to Y

Multiply Y by 3

Divide Y by 2

Substitute Y into another equation

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which property is used to simplify the equation after substitution?

Associative Property

Distributive Property

Commutative Property

Identity Property

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of X after solving the equation?

1

0

2

-1

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the solution represented once both X and Y are found?

As a fraction

As a coordinate point

As a percentage

As a decimal