Intro to Solving Systems of Equations

The graph represents a system of equations. How many solutions does the system have? If there is a solution, name it.

• one solution; (0, 4)
• no solution
• infinitely many solutions
• two solutions; (0, -1) and (0. 4)

Tags

CCSS.8.EE.C.8B

The graph represents a system of equations. How many solutions does the system have? If there is a solution, name it.

•  one solution; (1. 2)
• one solution; (2, 2)
• no solution
• infinitely many

Tags

CCSS.8.EE.C.8B

The graph represents a system of equations. How many solutions does the system have?

• One Solution
• No Solution
• Many Solutions
• Two Solutions

Tags

CCSS.8.EE.C.8B

If we are solving the system using the substitution method, what would be the best first step?
   x =7y +15
  -2x - 5y = -11

• y = (-1/7)x - 15
• -2(7y + 15) - 5y = -11
• -1x + 2y = 4
• -2x - 5y = 7y + 15

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system. Use the elimination method.
 5x + 2y = 3
-5x - 2y = -3

• (1, -2)
• no solution
• (-5, -3)
• infinitely many solutions

Tags

CCSS.8.EE.C.8B

Solve the system. Use the elimination method.
 5x + 2y = 3 
-5x - 2y = 2

• (0, 5)
• y=5
• No Solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8B

When solving a system by graphing, what do we look for?

• We look for where the lines cross the y-axis.
• We look for the point where the two lines intersect.
• We look for where the line intersects the x-axis.
• We look for one of our lines.

Tags

CCSS.8.EE.C.8B

When solving a system algebraically (substitution/elimination), what are we trying to find?

• We are trying to find the answer for x.
• We are trying to find the answer for y.
• We are trying to find the ordered pair that makes one of the equations true.
• We are trying to find the ordered pair that makes both equations true.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6