Solving systems of equations review

Let's solve a system by GRAPHING. Put the steps in order from first to last.

• The intersection point is the solution

• Solve both equations for y to get slope-intercept form

• Graph both lines using the slope and y-intercept

Tags

CCSS.8.EE.C.8B

Solve for y:

4x-y=3 ---> y=​ (a)   x​ (b)  

• 4
• -3
• -4
• 3
• 3/4
• 4/3
• -1/4

Tags

CCSS.6.EE.C.9

Solve for y:

3x+y=4 ---> y=​ ​ (a)   x​​ (b)  

• -3
• +4
• -4
• 3
• 3/4
• 4/3
• -1/4

Tags

CCSS.6.EE.C.9

Graph both equations on the same coordinate plane.

y=4x-3

y=-3x+4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the system of equations?

4x-y=3

3x+y=4

(​ (a)   ,​ (b)   )

• 1
• 2
• 3
• 4
• 5
• 6
• 7
• 8
• 9
• 0

Tags

CCSS.HSA.REI.C.9

Put the steps for solving by SUBSTITUTION in order:

• Solve for the first variable

• Solve one equation for x or y

• Plug that number into the other equation

• Solve for the second variable

• Plug the resulting expression into the other equation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In this system

x+3y=9

4x-2y=-6

it'll be easiest to start by solving the first equation for x.

The result of doing so is x=​

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In this system

x+3y=9

4x-2y=-6

it'll be easiest to start by solving the first equation for x.

The result of doing so is x=​9-3y.

Fill in the blanks to plug that expression in and solve for y:

4(​ (a)   )-2​ (b)   =-6

36-​ (c)   y-2y=​ (d)  

36-​ (e)   =-6

• 9-3y
• y
• 12
• -6
• 14y
• x
• 10y
• x+3y
• 24y

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In this system

x+3y=9

4x-2y=-6

it'll be easiest to start by solving the first equation for x.

The result of doing so is x=​9-3y.

Fill in the blanks to plug that expression in and solve for y:

4(​9-3y)-2​y =-6

36-​12y-2y=​-6

36-​14y =-6

-14y=​ (a)  

y=​ (b)  

• -42
• 3
• 30
• -3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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.8.EE.C.8B

CCSS.HSA.REI.C.6