If you are solving by elimination and all of the variables cancel leaving the equation "0=0", what does that tell you about the system?

The lines intersect one time. (one solution)

What is the next step in solving this system by elimination? 2x + 3y = 9 5x + 3y = 21

Multiply the bottom equation by 7.

What is the first step to solve a system with elimination?

Eliminate one variable to obtain a linear system in two variables

Substitute the values found in the previous step into one of the original equations and solve for the remaining variables

Solve the new linear system for both of its variables

What is the second step to solve a system with elimination?

Solve the new linear system for both of its variables

Substitute the values found in the previous step into one of the original equations and solve for the remaining variables

Eliminate one variable to obtain a linear system in two variables

What is the final step to solve a system with elimination?

Substitute the values found in the previous step into one of the original equations and solve for the remaining variables

Eliminate one variable to obtain a linear system in two variables

Solve the new linear system for both of its variables

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

Multiply one or both equations by a constant.

Add the two equations together.

Subtract one equation from the other.

Divide one equation by the other.

What is the next step after eliminating one variable in the elimination method?

solve for the remaining variable

substitute the value of the eliminated variable into the other equation

multiply the equation by a constant

add the equation to another equation

When adding or subtracting equations in the elimination method, what should be done to ensure the system remains balanced?

Make sure the coefficients of one variable are the same or opposite in both equations.

Ignore the coefficients and add or subtract the variables directly.

Multiply both equations by the same number to make the coefficients equal.

Combine the variables in one equation and eliminate the other variable in the other equation.

In the elimination method, what is the final step after eliminating all variables?

Solve the resulting system of equations

Graph the equations to find the solution

Multiply the equations by a common multiple

Substitute the values back into the original equations

In the elimination method, what should be done if the coefficients of one variable are not the same in both equations?

Multiply one or both equations by a constant to make the coefficients equal.

Divide one or both equations by a constant to make the coefficients equal.

Subtract one equation from the other to eliminate the variable with different coefficients.

Ignore the variable with different coefficients and solve for the other variable.

What is the final step in the elimination method after eliminating all variables?

Solve the resulting system of equations

Graph the equations to find the solution

Multiply the equations by a common multiple

Substitute the values back into the original equations

Elimination Steps

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

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20 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

What steps can be taken to isolate the y-value?

2x-4y=-10
2x + 5y =17

*Hint: isolating y, means eliminating the x-terms

Multiply the top equation by -2 and add the result equation to the bottom equation.

Multiply the bottom equation by -1 and add the result to the top equation.

Multiply the top equation by 5 and the bottom equation by 4 and adding the two equations.

Multiplying the top equation by 2 and the bottom equation by 2 and adding the resulting equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What steps can be taken to isolate the x-terms?

Multiply the top equation by 3 and add the result to the bottom equation.

Multiply the top equation by -3 and add the result to the bottom equation.

Multiply the top equation by 5 and the bottom equation by 4 and add the resulting equations.

Subtract 9 from all terms in the top equation and add the resulting equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE SELECT QUESTION

1 min • 1 pt

Multiply the top equation by 2 and add the result to the bottom equation.

Multiply the top equation by -5 and the bottom equation by 4 and add the resulting equations.

Multiply the top equation by 6 and the bottom equation by 3 and add the resulting equation.

Multiply the top equation by 3 and add the result to the bottom equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If you are solving a system by elimination and all of the variables cancel leaving you with "0 = -9", what does this tell you about the system?

The lines intersect at (0. -9). (one solution)

The lines coincide. (infinitely many solutions)

The lines are parallel. (no solution)

The lines intersect two times. (two solutions)

Tags

CCSS.8.EE.C.8B

MULTIPLE CHOICE QUESTION

1 min • 5 pts

what is the variable that willl be "eliminated"?

5x - 4y = 11
5x + 4y = -14

x variable

y variables

both variables

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MULTIPLE CHOICE QUESTION

1 min • 5 pts

What would be the first step in finding the solution with elimination?

cross out the 3y and -3y

cross out the 4x and x

change all the signs of the second equation

add 1 and -11

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

MATH RESPONSE QUESTION

1 min • 1 pt

Solve for y.
(just the number)

Mathematical Equivalence

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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Elimination Steps

What steps can be taken to isolate the y-value?2x-4y=-102x + 5y =17*Hint: isolating y, means eliminating the x-terms

What steps can be taken to isolate the x-terms?

If you are solving a system by elimination and all of the variables cancel leaving you with "0 = -9", what does this tell you about the system?

what is the variable that willl be "eliminated"?5x - 4y = 115x + 4y = -14

What would be the first step in finding the solution with elimination?

Solve for y.(just the number)

If you are solving by elimination and all of the variables cancel leaving the equation "0=0", what does that tell you about the system?

What is the next step in solving this system by elimination?2x + 3y = 95x + 3y = 21

Is this the correct way to multiply the bottom equation by -1?2x + 3y = 9-5x - 3y = -21

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What steps can be taken to isolate the y-value?

2x-4y=-10
2x + 5y =17

*Hint: isolating y, means eliminating the x-terms

what is the variable that willl be "eliminated"?

5x - 4y = 11
5x + 4y = -14

Solve for y.
(just the number)

What is the next step in solving this system by elimination?
2x + 3y = 9
5x + 3y = 21

Is this the correct way to multiply the bottom equation by -1?
2x + 3y = 9
-5x - 3y = -21