What is the value of the expression 8a−3b when a=2 and b=−5?

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Multiple Choice

What is the value of the expression 8a−3b when a=2 and b=−5?

To determine the value of the expression \(8a - 3b\) when \(a = 2\) and \(b = -5\), start by substituting the given values into the expression. First, substitute \(a = 2\) and \(b = -5\): \[ 8a - 3b = 8(2) - 3(-5) \] Now calculate \(8(2)\): \[ 8(2) = 16 \] Next, calculate \(-3(-5)\): \[ -3(-5) = 15 \] Now combine these results: \[ 16 + 15 = 31 \] Thus, the evaluated expression \(8a - 3b\) simplifies to 31 when substituting the values for \(a\) and \(b\). Hence, the correct answer is 31.

To determine the value of the expression (8a - 3b) when (a = 2) and (b = -5), start by substituting the given values into the expression.

First, substitute (a = 2) and (b = -5):

[

8a - 3b = 8(2) - 3(-5)

]

Now calculate (8(2)):

[

8(2) = 16

]

Next, calculate (-3(-5)):

[

-3(-5) = 15

]

Now combine these results:

[

16 + 15 = 31

]

Thus, the evaluated expression (8a - 3b) simplifies to 31 when substituting the values for (a) and (b). Hence, the correct answer is 31.

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