Mastering Simultaneous Equations

Solve the following equations: 2x + 3y = 12 and x - y = 1.

• (3, 2)

• (4, 1)

• (2, 4)

• (1, 5)

Graph the equations: y = 2x + 1 and y = -x + 4. What is the point of intersection?

• (3, 2)

• (0, 1)

• (2, 5)

• (1, 3)

Use the substitution method to solve: x + 2y = 10 and 3x - y = 5.

• x = 5, y = 2.5

• x = 10, y = 0

• x = 0, y = 5

• x = 20/7, y = 25/7

Apply the elimination method to solve: 4x + 5y = 20 and 2x - 3y = -6.

• (0, 4)

• (2, 3)

• (10/7, 5/7)

• (15/11, 32/11)

Solve for x and y: 5x + 2y = 14 and 3x + 4y = 18 using substitution.

• x = 1, y = 6

• x = 3, y = 2

• x = 2, y = 4

• x = 10/7, y = 1/7

Graph the lines represented by the equations: y = 3x - 2 and y = -2x + 5. Where do they intersect?

• (3, 1)

• (0, 5)

• (7/5, 11/5)

• (2, 4)

Use the elimination method to find the values of x and y in: 7x + 3y = 24 and 2x - y = 1.

• x = 3, y = 5

• x = 4, y = 6

• x = 1, y = 2

• x = 27/13, y = 41/13

Solve the system: x + y = 7 and 2x - 3y = -1 using substitution.

• (1, 6)

• (4, 3)

• (0, 7)

• (5, 2)

Graph the equations: 2y = 4x + 8 and y = -x + 2. What is the solution?

• (-2/3, 8/3)

• (0, 2)

• (-1, 3)

• (1, 1)

Use substitution to solve: 4x - y = 1 and 2x + 3y = 12.

• (1, 2)

• (3, 4)

• (5, 6)

• (15/14, 23/7)