Solving Simultaneous Linear Equations

Use the elimination method to solve the system of equations: 5x + 4y = 22 and 3x - 2y = 8

• x = 10, y = 4

• x = 6, y = 2

• x = 3, y = 5

• x = 7, y = 3

Graph the system of equations: 2x + 3y = 12 and 4x - 2y = 8. Identify the point of intersection.

• The point of intersection is (3, 2).

• The point of intersection is (5, 1)

• The point of intersection is (4, 3)

• The point of intersection is (2, 4)

Graph the system of equations: 3x - 2y = 10 and 2x + 4y = 16. Identify the point of intersection.

• The point of intersection is (5, 6)

• The point of intersection is (3, 4)

• The point of intersection is (2, 3)

• The point of intersection is (4, 2).

Solve:

5x + y = 9

10x − 7y = −18

• x = 1, y = 4

• x = -1, y = -4

• x = -1, y = 4

• x = 1, y = -4

Solve by elimination:

7x + y = -9

-3x - y = 5

• No solution

• (1, 8)

• (-2, -3)

• (-1, -2)

Solve by elimination:

4x + 4y = 4

3x + 4y = 10

• (7, -6)

• (-6, 7)

• (6, 7)

• (7, 6)

What can you conclude about the slopes and y-intercepts of the equations when a system of equations has no solution?

• Slopes and the y-intercepts are different

• Slopes are equal and the y-intercepts are different

• Slopes and the y-intercepts are equal

• information is incomplete to comment

What can you conclude about the slopes and y-intercepts of the equations when a system of equations has infinitely many solutions?

• Slopes are different and the y-intercepts are equal.

• Slopes and the y-intercepts are different.

• Both slopes and the y-intercepts are equal.

• Slopes are equal and the y-intercepts are different.

What can you conclude about the slopes and y-intercepts of the equations when a system of equations has unique solution?

• Slopes are different and the y-intercepts are equal.

• Slopes are equal and the y-intercepts are different.

• Both slopes and the y-intercepts are equal.

• Both slopes and the y-intercepts are different.

3x - y = 11

x + y = 5

• x = 4

  y = 1

• x = 4

  y = -1

• x = -4

  y = 1

• x = -4

  y = -1