How use elimination when your coefficients are not the same 5x + 3y = -10 , 3x + 5y = -6

How use elimination when your coefficients are not the same 5x + 3y = -10 , 3x + 5y = -6

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to use the elimination method in solving equations when variables are not the same. It covers finding the least common multiple (LCM) to align variables, applying the elimination method, and simplifying equations using negative multiplication. The tutorial concludes with solving the equation and emphasizes the importance of having the same number in front of variables for effective elimination.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step when using the elimination method if the variables are not the same?

Subtract the equations directly

Find the greatest common divisor

Find the least common multiple

Add the equations directly

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the given problem, what is the least common multiple of 5 and 3?

10

20

30

15

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it sometimes easier to multiply by a negative number during elimination?

It simplifies the addition of equations

It makes subtraction unnecessary

It changes the variable coefficients

It eliminates the need for division

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After eliminating one variable, what is the next step to find the solution?

Divide both sides by zero

Substitute the found value into one of the original equations

Multiply the equations again

Add the equations again

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution for X in the given problem after elimination?

-2

-10

0

2