Systems of Equation

In this system

x+3y=9

4x-2y=-6

we have figured out that x=9-3y, and y=3.

Complete the steps to solve for x:

x=9-3(​ (a)   )

x=9-​ (b)  

x=​ (c)  

The solution to the system is (​ (d)   ,​ (e)   ).

• 3
• 9
• 0
• y
• x
• y=3
• 3y
• -9
• 18

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Consider the system:

4x+3y=-1

5x+4y=1

Since we now know that x=-7, solve for y:

4(​ (a)   )+3y=-1

​ (b)   +3y=-1

​ (c)   =​ (d)  

y=​ (e)  

• -7
• -28
• 3y
• 27
• 9
• 5
• 7
• -12
• 3
• y

Tags

CCSS.HSA.REI.C.9

Consider the system:

4x+3y=-1

5x+4y=1

Which we converted to:

16 x +​ 12y=​-4

-15x -​ 12y= -3

Combining the equations straight down gives us:

​ (a)   x+​ (b)   y=​ (c)  

Solving for x, we get x=​ (d)  

• 1
• 0
• -7
• 3
• 5
• -1
• -12
• -3

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes
• no

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450

Tags

CCSS.8.EE.C.8C

What is the value of the y-coordinate of the solution to the system of equations 
x-2y=1
x+4y=7 1

Mathematical Equivalence

ON

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Solve the system of equations.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

When solving a system of equations algebraically, which statement results in infinite solutions?

• 4 = 7

• 2 = 2

• -3 = 3

• all of the above

• 0=0

Tags

CCSS.8.EE.C.8B