Solving Systems of Equations by Elimination

What does the intersection point of two graphs represent in a system of linear equations?

• A solution common to both equations

• A point that lies on only one graph

• A point that lies outside both graphs

• A point that lies on the x-axis

What method was used in the last lecture to solve systems of linear equations?

• Substitution method

• Matrix method

• Elimination method

• Graphical method

What is the first step in the elimination method?

• Subtracting the equations

• Adding the equations to eliminate one variable

• Dividing the equations

• Multiplying the equations

In the example given, what value of x is found after eliminating the y term?

• 6

• 9

• 3

• 1

After finding x = 6, which equation is used to find the value of y?

• Neither equation

• Both equations

• The second equation

• The first equation

What is the value of y when x is set to 6 in the second equation?

• 3

• 6

• 1

• 0

What is done to the second equation to eliminate the x term instead of the y term?

• It is multiplied by -2

• It is divided by 2

• It is added to the first equation

• It is subtracted from the first equation

What is the resulting value of y when the x terms are eliminated by multiplying the second equation by -2?

• 0

• 1

• 6

• 3

What is the value of x when y is set to 1 in the first equation?

• 0

• 1

• 3

• 6

Why is it sometimes necessary to use integer multipliers for both equations in the elimination method?

• To make the equations simpler

• To eliminate both variables

• To make the coefficients of one variable the same

• To solve the equations faster