Determining the Solution of Systems of Equations

Order the algorithm (steps) to elimination

• add vertically

• Solve for variable

• Align like terms vertically

• Determine the variable to eliminate

• multiply equation(s) to have opposite coefficients, if necessary

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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 is the solution to the system?

• (-1, 3)

• (-3, 1)

• (3, -1)

• (-3, -1)

Tags

CCSS.8.EE.C.8B

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

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

This system has _____ solutions

• no

• 1

• 2

• Infinitely many

Tags

CCSS.8.EE.C.8B

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Tags

CCSS.8.EE.C.8A

• 1 solution

• 2 Solutions

• No Solution

• Infinite Solutions

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

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

Tags

CCSS.8.EE.C.8B