Unit 2 Lesson 5 Algebra

Unit 2 Lesson 5:

Solve by Elimination

• ​We will explore solving systems of equation by elimination.

• I will solve systems of equations using the elimination method.​

Multiple Choice

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Multiple Choice

What is the solution to the following system:

^{y = 5x}

^{3x + y = 24}

• ^{(15, 3)}

• ^{(3, 5)}

• ^{(3, 15)}

• ^{(5, 3)}

Multiple Choice

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

Solve by Elimination

Steps:

1. LINE UP the equations.

2. MULTIPLY one or both equations by a number to result in a variable

3. with the same coefficient.

4. ADD or SUBTRACT the equations to eliminate this variable.

5. SOLVE for the remaining variable.

6. SUBSTITUTE your answer from step 4 into either original equation to find the other variable.​

Directions: solve each system of equations below by elimniation. Identify the solution.

1. x+7y=17

x-y=-7​

Some text here about the topic of discussion

Multiple Choice

Solve by elimination:
4x+9y=28
-4x-y=-28

• (-7,0)
• (6,0)
• (-6,0)
• (7,0)

Multiple Choice

Solve by elimination: 
4x + 8y = 20
−4x + 2y = −30

• (-1, 7)
• (-7, 1)
• (7, -1)
• (1, -7)

Directions: solve each system of equations below by elimniation. Identify the solution.

2. 4x-9y=-42

   x+5y=4​

Some text here about the topic of discussion

Multiple Choice

Solve the system by elimination.  

4x + 12y = −1
−3x − 9y = 0 

• (10, 1) 
• (−10, −1) 
•  (10, −1) 
•  No solution 

Multiple Choice

8x + 14y = 4
-6x - 7y = -10

• (4, -2)
• (-2, 4)
• (0, 3)
• (4, -2)

​Systems of Equations

• Graphing

• Substitution

• Elimination​

​

​

In the next two problems, you choose which method you will use to solve the system of equations.

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

Multiple Choice

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)