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Simplify

8(-3x+10y) +5x-50y

a
-19x+30y

b
19x-30y

c
19x+30y

1 answer

To simplify the expression \( 8(-3x + 10y) + 5x - 50y \), follow these steps:

  1. Distribute the \( 8 \) in the first term: \[ 8(-3x) + 8(10y) = -24x + 80y \] So now the expression becomes: \[ -24x + 80y + 5x - 50y \]

  2. Combine like terms. First, combine the \( x \) terms: \[ -24x + 5x = -19x \]

  3. Now combine the \( y \) terms: \[ 80y - 50y = 30y \]

  4. Putting it all together, we get: \[ -19x + 30y \]

Thus, the simplified expression is \[ -19x + 30y \]

The correct answer is a: -19x + 30y.