Systems of Equations One

What is the solution to this system of linear equations?

Solve by graphing and/or comparing slopes and y-intercepts.

y = 4x and y - 4x = 0

• There are infinitely many solutions.

• The only solution is (0, 4)

• The only solution is (0, 0)

• There is no solution.

Tags

CCSS.8.EE.C.8B

Does the system have one, none or infinite solutions?

Solve by graphing and/or comparing slopes and y-intercepts.

8x + 4y = 12

y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

How many solutions does this system have? Solve by graphing and/or comparing slopes and y-intercepts.
y = x + 3 y = x − (-3)

• One solution

• No solutions

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

How many solutions does this system have?

• One solution

• No solutions

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

Solve the system.

• (3, -2, 4)

• (2, -3, 1)

• (-3, 2, -1)

• Infinitely many solutions

Solve the system.

• (1, 2, -2)

• (1, -3, -2)

• (-1, 3, 2)

• No Solution

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

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.8.EE.C.8C

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

Tags

CCSS.HSA.CED.A.3

Two linear equations with the same set of variables

• system of equations

• function

• association

• correlation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6