Systems of Linear Equations and Inequalities

What is the value of the y-coordinate of the solution to the system of equations

x - 2y = 2

x + 4y = 8

• 1

• -1

• 3

• 4

If a system of equations has no solution, what does the graph look like?

• intersecting lines

• parallel lines

• coinciding lines

The equations of two lines are:

2x - y = 4 and y = -2x + 8.

What is the value of x in the solution for this system?

• x = 8

• x = 3

• x = 11

• x = 5

Find the solution to the system of equations below.

y = 2/3x - 2

y = -x + 3

• (0, 3)

• (0, -3)

• (3, 0)

• (-3, 0)

Solve for x and y

3x + 2y = -4

7x + y = 9

• (-2, 5)

• (-2, -5)

• (2, -5)

• (2, 5)

When the lines graphed are coinciding, then _?_

• you will have no solution.

• you will have exactly one solution.

• you will have infinitely many solutions.

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines

• Coinciding lines

• Intersecting lines

Solve for x and y

2x − 3y = -3

y = x − 1

• (5, 6)

• (0, 1)

• (3, 4)

• (6, 5)

Is (-2,4) a solution to the system?

• Solution
• Not a solution

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)