Systems of Equations: Substitution

In the system of equations y - 2x = 7 and 3x - 4y = -13 which variable would be easiest to isolate in the first equation?

• A) y in the first equation

• B) x in the first equation

• C) y in the second equation

• D) x in the second equation

After isolating the variable y in the equation y - 2x = 7, what is the resulting equation?

• A) y = 2x + 7

• C) y = 7 - 2x

• D) y = 2x - 7

In the system of equations -5x + 2y = -6 and x + 2y = -6, which variable would be easiest to isolate?

• A) x in the first equation

• B) y in the first equation

• C) x in the second equation

• D) y in the second equation

After isolating the variable x in the equation x + 2y = -6, what is the resulting equation?

• A) x = - 2y - 6

• C) x = 2y - 6

• D) x = 6 - 2y

Solve the system of equations using substitution: -5x + y = 6 and 2x - 3y = 21. What is the value of y?

• A) 3

• B) 4

• C) 5

• D) 6

What is the solution to the system of equations: x - 2y = 3 and 4x - 8y = 12?

• No solution

• Infinite solutions

• (3, 0)

• (0, 3)

What is the solution to the system of equations: -x + 2y = 4 and -x + 2y = -6?

• No solution

• Infinite solutions

• (0, 2)

• (2, 0)

What is the solution to the system of equations: y = -x - 1 and 2x + y = -3?

• (1, -2)

• (-1, 0)

• (0, -1)

• (-2, 1)

Solve the system using substitution.

• ( 2, 6)

• ( -6, -2)

• ( -2, -6)

• No Solution

Tommy and Grant are buying school supplies for the new semester. Tommy buys 5 pencils and 2 binders and his total is $13. Grant buys 3 pencils and 4 binders and his total is $19. What is the cost of the binders?

• $1

• $3.50

• $5.25

• $4