Solving Systems by Substitution

One equation is already isolated. Which choice shows the correct substitution?

2x − 3y = −1

y = x − 1

• 2x − 3(x − 1) = −1

• 2(x - 1) - 3y = -1

• 2x − 3y = x − 1

• y = 2x - 3y

Tags

CCSS.HSA.REI.C.6

Solve for x:

2x - 3(x - 1) = -1

• x = -4

• x = 2

• x = -2

• x = 4

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

If x = 4, solve for y:

2x - 3y = -1

y = x - 1

• y = 3

• y = 5

• y = -3

• y = -5

Tags

CCSS.HSA.REI.B.3

Since x = 4 and y = 3, the solution is:

• (3, 4)

• (4, 3)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What kind of solution is (4, 3)?

• No Solution

• One Solution

• Infinite Solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What does a One Solution system look like on a graph?

• 
• 
• 

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

How many solutions does this system of equations have?

• No solution

• One Solution

• Infinite Solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

How many solutions does this system of equations have?

• No solution

• One solution

• Infinite solutions

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

1. Solve the following system for x:

y = 6x − 11

−2x − 3y = −7

• x = 1

• x = 3

• x = 2

• x = 5

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Solve the following system of equations:

y = 6x − 11

−2x − 3y = −7

• (1, 2)

• (2, 5)

• (3, 2)

• (2, 1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11