Applying substitution to solve a system of equations with infinite many solutions

Applying substitution to solve a system of equations with infinite many solutions

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve systems of equations using the elimination method. It begins by identifying which variable to isolate and solve, focusing on variables with a coefficient of 1. The tutorial demonstrates solving for Y and substituting its value into another equation. The process leads to a consistent solution with infinite solutions, as the equations represent lines that overlap on a graph.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving systems of equations using elimination?

Identify the variable to isolate

Graph the equations

Multiply the equations

Add the equations

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When no variable is isolated, what should you look for in the equations?

A variable with a coefficient of 2

A variable with a coefficient of 0

A variable with a coefficient of 1

A variable with a negative coefficient

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is used to isolate the variable Y in the equation?

Subtraction

Division

Addition

Multiplication

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result when the equations are solved and simplified?

Two solutions

Infinite solutions

One solution

No solution

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean when the solution is consistent and dependent?

The equations are parallel

The equations intersect at one point

The equations have no intersection

The equations overlap completely