Solving a System of Linear Equations by Elimination

Solve by elimination:
4x+4y=4

3x+4y=10

• (7,-6)

• (-6,7)

• (6,7)

• (7,6)

You and your friend are buying throw blankets with your names embroidered on them. The cost of the throw blanket is x dollars and the cost of each embroidered letter is y dollars. Your name has 6 letters and the total cost is $29. Your friend's name has 3 letters and the total cost is $24.50. Which system can you use to solve this problem?

Solve this system of equation

-8x + y = 1

-6x + y = 3

• (1, 9)

• (4, 14)

• (0, 1)

• (2, 4)

Solve this system of equation

5x - 2y = 9

2x + 7y = -12

• (1, -1)

• (-1, 1)

• (-1, 2)

• (1, -2)

The solution to a system of linear equations is ALWAYS...

• a fraction

• an ordered pair

• a decimal

• a negative number

What is the best first step to solve this system by elimination?

• Add the equations to eliminate y

• Multiply the first equation by 2

• Multiply the second equation by 3

• Add the equations to eliminate x

What is the best first step to solve this system by elimination?

• Add the equations to eliminate y

• Multiply the first equation by 2

• Multiply the second equation by 2

• Add the equations to eliminate x

Solve the system by the elimination method.

Solve the system by the elimination method.

Solve the system by the elimination method.