Systems 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

This system has _____ solutions

• no

• 1

• 2

• Infinitely many

Why will this system have infinite solutions?

• The equations are both negative.

• The equations are the same.

• They have the same y-intercept but not the same slope.

• They have the same slope but not the same y-intercept.

What point is a solution to the system of equations below?

3x + 2y = 16

7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Which point is a solution to the system of equations above?

• (-2, 4)

• (-2, -4)

• (2, -4)

• (2,4)

Is the point (2, -1) a solution to the systems of equations below?

y=5x+3

y=-2x-4

• Yes

• No

Is the points (-4, 4) a solution to the system of equations?

• Yes

• No

Will the solution (-3, -7) make the following system of equations a true statement? 
y = 4x + 5
y = x – 4

• YES

• NO

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

• yes

• no

Is (4, 5) a solution to the system of equations?
4x+y=21
-3x-6y=10

• Yes, it is a solution to the system of equations

• No, it only satisfies the first equation, and fails to satisfy the second.

• No, it only satisfies the second equation, and fails to satisfy the first.

• No, it fails to satisfy both equations