Testing Solutions to System of Two Equations

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.

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

To see if a point is a solution to a system, plug the x and y values of that point into each equation and make sure both equations are true. For instance, to find the solution to the system below, start by plugging 1 in for x and 3 in for y. In the top equation, is 1 - 3 = 6? No, so (1, 3) is NOT a solution to this system. Now you try testing the other points. Remember: You are looking for the point that makes BOTH of the equations true.
x - y = 6
y= 2x - 5

• (1,3)

• (-1,3)

• (-1,-7)

• (1,-7)

Which point is a solution to this system?

x = - 3
2x + 3y = 6

• (4,3)

• (-4,3)

• (-3,4)

• (3,-4)

• 
• 
• 
• 

Tags

CCSS.8.EE.C.8B

How many solutions?

• One Solution

• No solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

What is the number of solutions to the system of equations?

• No Solution

• Infinitely Many Solutions

• One Solution

• Two Solutions

Tags

CCSS.8.EE.C.8B

What is the solution to the system?

• (-1, 3)

• (-3, 1)

• (3, -1)

• (-3, -1)

Tags

CCSS.8.EE.C.8B

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Tags

CCSS.8.EE.C.8A

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

• Parallel lines

• the same line

• Intersecting lines

Tags

CCSS.8.EE.C.8A