To write the pair of linear equations based on the given combinations, we can set up the equations as follows:
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For Combination 1, which includes 4 hot dogs and 2 sodas for $10, we write the equation: \[ 4h + 2s = 10 \]
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For Combination 2, which includes 6 hot dogs and 3 sodas for $15, we write the equation: \[ 6h + 3s = 15 \]
So the pair of linear equations that model the situation is:
- \( 4h + 2s = 10 \)
- \( 6h + 3s = 15 \)