Elimination Method in Linear Equations

What is the primary goal of the elimination method when solving a system of linear equations?

• To graph the two lines and find their intersection point.

• To eliminate one of the variables to solve for the other.

• To substitute one equation into the other.

• To find the slope and y-intercept of each line.

For the system of equations: 3x + 4y = 9 and -3x - 2y = -3, what is the value of y after eliminating x?

• y = 6

• y = 3

• y = -3

• y = -6

Using the value of y=3 for the system 3x + 4y = 9 and -3x - 2y = -3, what is the value of x?

• x = 1

• x = -1

• x = 3

• x = -3

For the system of equations: 4x - 3y = -10 and -16x + 7y = 30, what is the first step to eliminate the x-terms using the elimination method?

• Multiply the first equation by 4.

• Multiply the second equation by 4.

• Multiply the first equation by -4.

• Multiply the second equation by -4.

What is the value of y in the system of equations: 4x - 3y = -10 and -16x + 7y = 30?

• -2

• -1

• 2

• 4

What is the value of x in the system of equations: 4x - 3y = -10 and -16x + 7y = 30?

• -1

• 1

• -2

• 2

For the system of equations: -3x - 2y = -1 and 5x = -4y + 5, what is the value of x?

• -3

• 3

• -5

• 5

What is the value of y in the system of equations: 2x - 7y = 3 and -3x = 5y + 11?

• -1

• 1

• -2

• 2

To solve the system of equations 6x - 3y = 0 and -9y = 8 - 14x using elimination, what is the correctly rearranged form of the second equation?

• 14x + 9y = 8

• 14x - 9y = 8

• -14x - 9y = 8

• -14x + 9y = 8

After rearranging the second equation in the system (6x - 3y = 0 and 14x - 9y = 8) and multiplying the first equation by -3 to eliminate y, what is the resulting value of x?

• x = 2

• x = -2

• x = 4

• x = -4