David and joe went to the pizzeria. David ordered 3 slices of pizza and 4 garlic knots and paid 10.65. Joe ordered 2 slices of pizza nd 10 garlic knots and paid 9.30. How much is the cost of each item

The cost of slices of pizza = x = $2.82

The cost of garlic knots = y = $0.55

Step-by-step explanation:

David and joe went to the pizzeria.

Let

The cost of slices of pizza = x

The cost of garlic knots = y

David ordered 3 slices of pizza and 4 garlic knots and paid 10.65.

3x + 4y = 10.65Equation 1

Joe ordered 2 slices of pizza nd 10 garlic knots and paid 9.30.

2x + 10y = 9.30 Equation 2

Hence:

3x + 4y = 10.65Equation 1

2x + 10y = 9.30 Equation 2

We solve using Elimination method:

Multiply Equation 1 by 2 and Equation 2 by 3 to eliminate x

3x + 4y = 10.65Equation 1 × 2

2x + 10y = 9.30 Equation 2 × 3

6x + 8y = 21.30Equation 3

6x + 20y = 27.9...Equation 4

Subtract Equation 4 from 3

12y = 6.6

y = $0.55

We solve for x using Equation 1

3x + 4y = 10.65Equation 1

3x + 4($0.55) = $10.65

How much is the cost of each item

3x + $2.2 = $10.65

3x = $10.65 - $2.2

3x = $8.45

x = $8.45/3

x = $2.8166666667

x = $2.82

The cost of each items

The cost of slices of pizza = x = $2.82

The cost of garlic knots = y = $0.55

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step-by-step explanation: