Systems Add Subtract

Which variable has opposite coefficients?
 7x + 3y = -10
-7x + 2y = -30

• x

• y

• -30

• 2

In this linear system, what variable will cancel out?
x + y = 8
x - y = 6

• x

• y

• 8

• 6

Solve this system of equations, step by step.
-2x - 8y = 10
2x - 6y = 18
What is the result if you add these equations together?

• 4x - 14y = 28

• 14y = 28

• 2y = 8

• -14y = 28

When you added the system, the result was 
      -14y = 28
Now, solve for y.
   

• y = -2

• y = 2

• y = -7

• y = 7

Solve the system.

• (2, -2, 3)

• (2, 1, 4)

• (-2, 2, -3)

• No Solution

Solve the system.

• (3, -2, 4)

• (2, -3, 1)

• (-3, 2, -1)

• Infinitely many solutions

Solve the system. 

• (5, -6, 3)

• (2, 3, -1)

• (-4, 2, 5)

• No Solution

Two linear equations with the same set of variables

• system of equations

• function

• association

• correlation

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $68 for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

Solve the system.

• (1, 2, -2)

• (1, -3, -2)

• (-1, 3, 2)

• No Solution