Solving Systems of Equations by Elimination

What is the primary goal of the elimination method in solving systems of equations?

• To graph the equations

• To rewrite equations in slope-intercept form

• To eliminate one variable

• To find the least common multiple

When eliminating x terms, what must be done to the coefficients?

• Divide them by each other

• Subtract them

• Add them together

• Make them equal

After finding the value of y, what is the next step?

• Rewrite the equation in standard form

• Graph the equations

• Substitute y back into one of the original equations

• Find the least common multiple of x

What is the solution to the system of equations in the first example?

• (-5, 2)

• (5, -2)

• (2, -5)

• (-2, 5)

In the second example, why is it easier to work with x terms?

• Because x terms are always positive

• Because the least common multiple is smaller

• Because y terms are not present

• Because x terms are already equal

What is the least common multiple of the x terms in the second example?

• 5

• 15

• 20

• 10

What operation is used to solve for y after eliminating x terms?

• Subtraction

• Division

• Addition

• Multiplication

In the second example, what is the value of y after solving the equation?

• 2

• 3

• 5

• 4

What is the final solution to the system of equations in the second example?

• (-4, -1)

• (-1, -4)

• (4, 1)

• (1, 4)

What is the purpose of multiplying both sides of an equation by the same number?

• To maintain equality while adjusting coefficients

• To change the equation's solution

• To convert to slope-intercept form

• To eliminate all variables