Systems of Equations by Graphing and Substitution

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

Tags

CCSS.8.EE.C.8B

Solve for x and y
5x + 3y = 7
y = 4

• (4,1)
• (4,-1)
• (1,4)
• (-1,4)

Tags

CCSS.HSA.REI.C.9

Solve for x and y
2x − 3y = −1
 y = x − 1

• (-2,-3)
• (0,-1)
• (3,4)
• (4,3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

If a system of equations has infinitely many solutions, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• the same line (coinciding lines)

Tags

CCSS.8.EE.C.8A

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

• intersecting lines
• parallel lines
• skew lines
• the same line (coinciding lines)

Tags

CCSS.8.EE.C.8A

Is (1,10) a solution to

y=7x+5

y=x+9

• yes

• no

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Is (1,7) a solution for

y=3x+4

y=x+6

• yes

• no

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Is (4,9) a solution for

y=x+5

y=2x+1

• yes

• no

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

• Run off the graph
• Don't touch
• Intersect
• Exist

Tags

CCSS.8.EE.C.8B