Review of 5.2 and 5.3 Notes

Adv 1
Review 5.2 and 5.3
Solving Systems of Equations by Elimination

Do Now

Graph and identify the solution to the system. Show your work.

1) x = 8

6 + y = x

2) 6x - y = 4
-4x - y = +1

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Solving System of Equations Substitution

​Step 1: Isolate a variable
Step 2: Substitute
Step 3: Solve
Step 4: Substitute

Multiple Choice

Isolate the y to equation $$x+y=-2$$

• $$y=x+2$$

• $$y=-x+2$$

• $$y=-x-2$$

• $$y=-x+2$$

Multiple Choice

Solve this system by substitution.

• (1, -4)

• (1, 4)

• (-4, -7)

• (-7, -4)

Multiple Choice

 Solve the system of equations:

$$2x-3y=-1$$

$$y=x-1$$  

• $$\left(4,3\right)$$  

• No Solution

• $$\left(3,4\right)$$  

• $$\left(3,-4\right)$$  

Multiple Choice

Solve the system of equations:

$$y=-3x+5$$   

$$5x-4y=-3$$  

• $$\left(1,2\right)$$  

• No Solution

• $$\left(2,-1\right)$$  

• $$\left(1,-2\right)$$  

Multiple Choice

what is the variable that will be "eliminated"?

5x - 4y = 11

5x + 4y = -14

• x variable

• y variables

• both variables

Multiple Choice

What would be the first step in finding the solution using elimination?

2x + 2y = -2

3x - 2y = 12

• you cannot solve this using elimination

• cross out the 2x and 3x

• Add the like terms. The y terms will zero out.

• change to slope intercept form and graph

Multiple Choice

Solve the system by elimination. Show all work.

3x + y = 19

2x - y = 6

• (5, 14)

• (4, 5)

• (5, 4)

• (14, 5)

Multiple Choice

Solve by elimination:

-9x - 4y = -20

5x + 4y = 4

• (-4,4)

• (4,4)

• (4,-4)

• (-4,-4)

Multiple Choice

what does the top equation need to be multiplied by to create a zero pair?

2x - 6y = 20

2x + 5y = -11

• -1

• 1

• -2

• 2

Multiple Choice

what do you need to multiply the top equation by to make a zero pair:

5x - 2y = 11

-10x + 3y = -4

• 5

• -1

• 2

• -2

Multiple Choice

Solve by elimination
4x-6y= -6
-2x-12y= -12

• (0,1) 

• (1,0)

• (1,1)

• (2,1)

Multiple Choice

Solve by elimination:
3x + 7y = 23
-3x - 7y = -17

• No solution

• Infinite number of solutions

• (-3,3)

• (3,3)