Questions: Evaluate the expression: -5a+2b-6b if a=-6 and b=1/2

Solution Steps

To evaluate the expression \(-5a + 2b - 6b\) given \(a = -6\) and \(b = \frac{1}{2}\), we need to substitute the values of \(a\) and \(b\) into the expression and then simplify it.

1. Substitute \(a = -6\) and \(b = \frac{1}{2}\) into the expression.
2. Simplify the expression by performing the arithmetic operations.

We start with the expression \( -5a + 2b - 6b \). Given \( a = -6 \) and \( b = \frac{1}{2} \), we substitute these values into the expression:

\[ -5(-6) + 2\left(\frac{1}{2}\right) - 6\left(\frac{1}{2}\right) \]

Now, we simplify each term in the expression:

1. Calculate \( -5(-6) = 30 \)
2. Calculate \( 2\left(\frac{1}{2}\right) = 1 \)
3. Calculate \( -6\left(\frac{1}{2}\right) = -3 \)

Putting it all together, we have:

\[ 30 + 1 - 3 \]

Now, we perform the final arithmetic:

\[ 30 + 1 = 31 \] \[ 31 - 3 = 28 \]

Final Answer