Mastery of Systems of Equations: Elimination Method

Solve the system of equations by elimination: $3x + 2y = 6$ and $5x - 2y = 10$.

• A) $(2, 0)$

• B) $(1, 1.5)$

• C) $(0, 3)$

• D) $(1, 0.5)$

What are the coefficients in the equation $4x - 7y = 21$?

• A) 4 and -7

• B) 4, -7, and 21

• C) -7 and 21

• D) 4 and 21

Which operation would be most effective to eliminate a variable in the system $2x + 3y = 5$ and $4x - 3y = 3$?

• A) Addition

• B) Subtraction

• C) Multiplication

• D) Division

Identify the constant in the equation $6x + 9y = 27$.

• A) 6

• B) 9

• C) 27

• D) 6 and 9

Solve for $y$ in the equation $7y - 3x = 14$.

• A) $y = \frac{14 + 3x}{7}$

• B) $y = \frac{14 - 3x}{7}$

• C) $y = 2 + \frac{3x}{7}$

• D) $y = 2 - \frac{3x}{7}$

Which of the following equations is equivalent to $3x + 4y = 12$?

• A) $6x + 8y = 24$

• B) $x + \frac{4}{3}y = 4$

• C) $x + 2y = 6$

• D) Both A and B

After applying the elimination method to the system of equations $x + y = 3$ and $x - y = 1$, what is the value of $x$?

• A) 1

• B) 2

• C) 3

• D) 4

If you multiply the first equation in the system $x + 2y = 4$ and $3x - y = 5$ by 2, what is the new system of equations?

• A) $2x + 4y = 8$ and $3x - y = 5$

• B) $x + 2y = 4$ and $6x - 2y = 10$

• C) $2x + 4y = 8$ and $6x - 2y = 10$

• D) $x + 4y = 8$ and $3x - y = 5$

Solve the system of equations by elimination: $2x - y = -1$ and $4x + y = 9$.

• A) $(2, 5)$

• B) $(2, 3)$

• C) $(1, 3)$

• D) $(3, 2)$

What is the result of adding the equations $x + 2y = 6$ and $-x + 3y = 9$?

• A) $5y = 15$

• B) $5y = 3$

• C) $y = 3$

• D) $5x + 5y = 15$