Two pizzas and four sandwhiches cost $62. Four pizzas and ten sandwiches cost $140. how much does each pizza and sandwhich cost?

Pizzas are $15

Sandwiches are $8

Step-by-step explanation:

Write a system of equations

Pizza = x

Sandwiches = y

2x + 4y = 62

4x + 10y = 140

Isolate a variable in one of the equations

2x = 62 - 4y

x = 31 - 2y

Plug isolated x value into other equation

4(31-2y) +10y = 140

124 - 8y + 10y = 140

Simplify

2y = 16

y = 8

Plug y value into equation to solve for x

2x + 4(8) = 62

2x + 32 = 62

2x = 30

x = 15

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