System of Equations - Solutions

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

• Parallel lines

• the same line 

• Intersecting lines

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

Solve for x and y.
y = 2/3x - 2
y = -x + 3

• (0,3)

• (0,-3)

• (3,0)

• (-3,0)

Find the solution to the system of equations: 4x - 3y = 5 and 2x + 7y = 1

• x = 2, y = -1

• x = -1, y = 2

• x = 5, y = 3

• x = 3, y = 4

Find the solution to the system of equations: 4x - 3y = 5 and 2x + 7y = 1

• x = 2, y = -1

• x = -1, y = 2

• x = 5, y = 3

• x = 3, y = 4

Find the solution to the following pair of equations: 3x + 2y = 10 and 4x - y = 8

• x = 3, y = 5

• x = 1, y = 3

• x = 4, y = 6

• x = 2, y = 4

6x + y = + 5

-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)

Find the solution to the following pair of equations: 3x + 2y = 10 and 4x - y = 8

• x = 3, y = 5

• x = 1, y = 3

• x = 4, y = 6

• x = 2, y = 4

How many solutions does the system of equations on the graph have?

• One Solution

• No Solution

• Many Solutions