Always follow this rule when solving a system of equations

Always follow this rule when solving a system of equations

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial explains a rule for efficiently solving systems of equations using substitution. The rule suggests using substitution when a variable has a coefficient of 1 or -1. The instructor demonstrates this with an example, showing how to solve for X and Y by substituting values and simplifying equations. The tutorial emphasizes the simplicity and efficiency of this method, especially when variables are already isolated.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the recommended method for solving a system of equations when the coefficient of X is 1 or -1?

Use trial and error

Use graphing

Use substitution

Use elimination

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is substitution preferred when the coefficient of X is 1 or -1?

It simplifies the equation

It is faster

It requires fewer steps

It is more accurate

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving for X using substitution in the given example?

Subtract 2Y from both sides

Divide both sides by 2

Add 2Y to both sides

Multiply both sides by 2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example, what is the value of Y after solving the system of equations?

1

2

0

4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After finding Y, how is the value of X determined in the example?

By graphing the equation

By guessing the value

By using the elimination method

By substituting Y into the original equation