Cross Multiplication Method for Solving Pair of Linear Equations

Cross Multiplication Method for Solving Pair of Linear Equations

Assessment

Interactive Video

Mathematics

10th Grade - University

Hard

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This video tutorial covers solving a system of linear equations using the elimination method. The instructor introduces the problem, presents the equations, and demonstrates how to prepare them for elimination by adjusting coefficients. The tutorial then walks through solving for x by eliminating y, followed by substituting the value of x to find y. The session concludes with a recap of the steps taken to arrive at the solution, which is x = 1/2 and y = 1/3.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main method used in this session to solve the pair of linear equations?

Graphical Method

Matrix Method

Substitution Method

Elimination Method

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in the elimination method as described in the session?

Solve for one variable directly

Substitute one equation into the other

Make the coefficients of one variable equal

Graph the equations

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After making the coefficients of y equal, what operation is performed on the equations?

Subtraction

Division

Multiplication

Addition

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x obtained after solving the equations?

1

1/2

2

3/2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which equation is used to substitute the value of x to find y?

Equation 2

Neither equation

Equation 1

Both equations

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value of y after solving the equations?

1/3

1

2

3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final solution for the system of equations?

x = 1, y = 1

x = 2, y = 3

x = 1/2, y = 1/3

x = 1/3, y = 1/2