Solutions to Systems Equations

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

How can you tell if a point is a solution to a system?

• It makes the first equation true.

• The (x,y) coordinates satisfy both equations

• It makes logical sense

• It makes neither equation negative

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)

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

• yes

• no

How many solutions does the system of equations have?

• One solution

• No solution

• Infinite solutions

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

• One Solution

• No Solution

• Many Solutions

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

• (-2, 4)

• (-2, -4)

• (2, -4)

• (2,4)

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

• Yes

• No

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

y=5x+3

y=-2x-4

• Yes

• No

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

• YES

• NO