Systems of Equations

If a system of equations has one solution, what does the graph look like?

• Intersecting Lines

• Parallel Lines

• Same Lines

If a system of equation has infinite solutions, what does the graph look like?

• Intersecting Lines

• Parallel Lines

• Same Lines

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

• Intersecting Lines

• Parallel Lines

• Same Lines

The solution (x,y) to a system of equations is the point where the lines...?

• Run off the graph

• Don't touch

• Intersect

• Exist

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

How many solutions does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• Two Solutions

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

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

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

• (0,3)
• (3,0)
• No solution(parallel lines)
• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

Solve the system of equations by substitution.
y = -4x + 5
y =  3x - 16

• (-3, -25)
• (3,-7)
• (11, 17)
• (21, 47)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6