How to Solve a System by Using Two Multipliers for Elimination

How to Solve a System by Using Two Multipliers for Elimination

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

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The video tutorial explains how to isolate variables in an equation by using multipliers and finding a common multiple. It demonstrates solving a system of equations by making one coefficient negative and adding the equations to eliminate a variable. The tutorial concludes by substituting the found value back into one of the original equations to find the other variable.

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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 'n' in the given problem?

Find a common multiple and make one term negative

Divide both sides by the coefficient of 'n'

Subtract the smaller equation from the larger one

Add the equations directly

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do we add the equations after using multipliers?

To eliminate the variable 'M'

To create a new equation with larger coefficients

To simplify the equation by reducing terms

To eliminate one variable by having opposite coefficients

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of 'M' after solving the simplified equation?

1

0

3

2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which equation is used to substitute the value of 'M' to find 'N'?

The equation after adding the two equations

The original equation with 'M' and 'N'

The equation with the smallest coefficients

Any of the equivalent equations

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value of 'N' after substitution and simplification?

-3

4

3

-4