Solving Simultaneous Equations

Solving Simultaneous Equations

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

This video tutorial explains how to use the method of elimination to solve simultaneous equations. The process involves adjusting the coefficients of the variables to be the same, allowing one variable to be eliminated by adding or subtracting the equations. The tutorial provides a step-by-step example, demonstrating how to solve for one variable and substitute it back to find the other. The video concludes with a summary of the method's effectiveness in solving such problems.

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9 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal of using the method of elimination in solving simultaneous equations?

To add equations together

To eliminate one variable

To multiply equations

To divide equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should be done to the coefficients of a variable in both equations to use the elimination method effectively?

Make them negative

Make them zero

Make them different

Make them equal

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the given example, what common factor is used to align the coefficients of y?

3

9

2

6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After transforming the equations, what is the resulting equation when the y terms are eliminated?

5x = 37

10x = 74

9x = 21

19x = 95

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x after solving the equation 19x = 95?

x = 4

x = 5

x = 6

x = 7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Once x is found, into which equation can it be substituted to find y?

Neither equation

Only equation 2

Only equation 1

Either equation 1 or 2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of y when x = 5 is substituted back into equation 1?

y = -6

y = -5

y = -4

y = -3

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