A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 8 slices of pizza and 4 soft drinks for $29.40. The second group bought 7 slices of pizza and 6 soft drinks for $30.30. 1 slice pizza cost?

Systems problem.

X = pizza

Y = soft drinks

Penny out the money.

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8X + 4Y = 2940

7X + 6Y = 3030

Use elimination.

3(8X + 4Y = 2940)

- 2(7X + 6Y = 3030)

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24X + 12Y = 8820

- 14X - 12Y = - 6060

+------+ ( add )

10X = 2760

X = 276

======Your slice of pizza = $2.76.