Systems Addition

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

-2x - 8y = 10
2x - 6y = 18
y = -2 and x = 3
Write the solution for the system of equations

• y = -2 

• x = 3

• (-2, 3)

• (3, -2)

Solve this system of equations, step by step.
-5x - 4y = -15
 -x + 4y = -3
What is the result if you add these equations together?

• -4 x = - 12

• -4x = 12

• -6x = -18

• -6x = 18

Find the solution to the system of equations: 4x - 3y = 5 and 2x + 7y = 1

• x = 2, y = -1

• x = -1, y = 2

• x = 5, y = 3

• x = 3, y = 4

Find the solution to the system of equations: 4x - 3y = 5 and 2x + 7y = 1

• x = 2, y = -1

• x = -1, y = 2

• x = 5, y = 3

• x = 3, y = 4

Solve the system of Equation (x,y)
3x + 2y = –13
3x + 4y = 1 

• (-9,7)

• (7,-9)

• (4,-7)

• (-7,-4)

Find the solution to the following pair of equations: 3x + 2y = 10 and 4x - y = 8

• x = 3, y = 5

• x = 1, y = 3

• x = 4, y = 6

• x = 2, y = 4

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer 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

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer 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