Linear systems by Substitution

y varies directly with x, and y is 16 when x is 32. What is the value of y when x=50?

• 35

• 40

• 15

• 25

What is the slope fo the line

-8x+2y=12

What is the solution to the system

• This system has no solutions

• (1,2)

• (2,1)

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

Which equation shows the correct first step to solve the system by substitution

y=4x-2

2x-8y=2

• 2=4x-2

• 2x-8y=4x-2

• 2x-8(4x-2)=2

• 2(4x-2)-8y=2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which equation shows the first step to solve the system by substitution

6x+5y=8

x=y+4

• 6(y+4)+5y=8

• 6x+5(y+4)=8

• 6x+5y=y+4

• 6y+5(y+4)=8

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which equation shows the correct first step to solve the system of equation by substitution

y=4x+6

y=2x+10

• 4x+6=y

• y=2(4x+6)+10

• y=4(2x+10)+6

• 4x+6=2x+10

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

y = -2x + 18
y = 8

• (5, 8)
• (-5, 8)
• (2, 8)
• (-2, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to this system?
x - y = 6
y = 2x - 5

• (1,3)
• (-1,3)
• (-1,-7)
• (1,-7)

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.HSA.REI.C.9

What is the solution?

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

Tags

CCSS.8.EE.C.8B