To evaluate the expression \( 5y - 3z + 6 \) when \( y = 10 \) and \( z = 4 \), we can substitute the values of \( y \) and \( z \) into the expression:
\[ 5(10) - 3(4) + 6 \]
Calculating each part step-by-step:
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Calculate \( 5(10) \): \[ 5(10) = 50 \]
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Calculate \( -3(4) \): \[ -3(4) = -12 \]
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Now we can combine these results: \[ 50 - 12 + 6 \]
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First, calculate \( 50 - 12 \): \[ 50 - 12 = 38 \]
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Finally, add 6: \[ 38 + 6 = 44 \]
So, the value of the expression is \( 44 \).
The correct response is 44.