Using substitution to solve the system

Using substitution to solve the system

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

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The video tutorial explains how to solve a system of equations using the substitution method. It begins with an introduction to substitution, followed by setting up the equations. The instructor demonstrates how to substitute one equation into another and solve for the variables. The process involves simplifying the equations and finding the solution for both X and Y coordinates. The tutorial concludes with a recap of the steps involved in the substitution method.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main idea behind the substitution method in solving equations?

Substituting a variable with its expression from another equation

Solving equations without any variables

Eliminating all variables from the equation

Replacing a variable with a constant

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to have a variable isolated before performing substitution?

It is not necessary to isolate a variable

It helps in eliminating the variable

It allows for easier substitution into another equation

It makes the equation longer

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to simplify the equation after substitution?

Addition

Division

Subtraction

Distributive property

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After finding the value of X, what is the next step in solving the system of equations?

Checking the solution

Rewriting the equations

Finding the corresponding Y value

Graphing the equations

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final solution of the system of equations in terms of coordinates?

X = 1, Y = 5

X = -1, Y = 5

X = -1, Y = -5

X = 1, Y = -5