Solving Systems by Graphing and Substitution

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.HSA.REI.C.6

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve this system of equations. Hint--use the graph to find the solution

y = 4x - 2

y = -x + 3

• (-2,-1)

• (-1,-2)

• (1,2)

• (2,1)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

What is the best method do you use?

x = 6y − 11

−2x − 3y = −7

• Graphing, because they are both in slope-intercept form

• Substitution because a variable is isolated (solved for)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

What is the best method to use?

y = −3x + 5

y = x -1

• Graphing, because they are both in slope-intercept form

• Substitution because a variable is isolated (solved for)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Use substitution to solve:

y = -3x + 11

5x + y = 21

• (1, -5)

• (1, 5)

• (-4, 5)

• (5, -4)

Tags

CCSS.HSA.REI.C.6

How many Solutions?

• One Solution
• No solution
• Infinitely Many Solutions
• (0, -1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the solution?

• (6, 3)
• (3, 6)
• (-6, 3)
• No solution

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

^{What is the solution?} 

• 1
• -2
• (1, 2)
• (1, -1)

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve the following System of Equations using substitution.

• (5, 15)

• (-4, -12)

• (3, 9)

• infinite many solutions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.C.6

Solve the system of equations using substitution.

• (-6, 30)

• (-2, 10)

• (44, 39)

• No solution

• Infinite solutions

Tags

CCSS.HSA.REI.C.6