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Solve a System of Linear Equations Using Elimination

Solve a System of Linear Equations Using Elimination

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to solve a system of equations using the elimination method. It begins by discussing when to use elimination, particularly when equations have the same variable with the same coefficients. The tutorial then demonstrates the elimination process by subtracting equations to eliminate a variable, followed by calculating the values of the remaining variables. Finally, it verifies the solution by substituting the values back into the original equations to ensure correctness.

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5 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal when using the elimination method to solve a system of equations?

To convert the system into a single equation

To graph the equations and find the intersection

To eliminate one variable by adding or subtracting equations

To find the determinant of the system

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When can you directly subtract two equations in the elimination method?

When the equations have different variables

When the coefficients of the variables are different

When the coefficients of the same variable are equal and have the same sign

When the equations are in standard form

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After eliminating one variable, what is the next step in solving the system of equations?

Multiply the remaining equation by a constant

Add a new equation to the system

Substitute the known value into one of the original equations

Graph the remaining equation

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can you verify the solution obtained from the elimination method?

By solving the system using substitution

By comparing the solution to a graph

By ensuring the solution is a whole number

By checking if the solution satisfies both original equations

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to the system of equations if X = 2 and Y = 4?

X = 4, Y = 2

X = 2, Y = 4

X = 1, Y = 5

X = 0, Y = 0

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