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5(2x - y) - 2(3y - 5x) = ?
a) -11y
b) 2x - 6y
c) 6x - 7
d) 20x - 11y

1 Answer

2 votes

Final answer:

To simplify the expression 5(2x - y) - 2(3y - 5x), distribute the numbers outside the parentheses, combine like terms, and simplify to get 20x - 11y, which is answer option (d).

Step-by-step explanation:

To solve the expression 5(2x - y) - 2(3y - 5x), we need to distribute the numbers outside the parentheses to each term inside the parentheses.

First, multiply 5 by both 2x and -y: 5 × 2x = 10x and 5 × (-y) = -5y.

Next, multiply -2 by both 3y and -5x: -2 × 3y = -6y and -2 × (-5x) = 10x.

Combine like terms after distribution: 10x - 5y + 10x - 6y.

Add the x terms: 10x + 10x = 20x.

Add the y terms: -5y - 6y = -11y.

So the simplified expression is 20x - 11y, which corresponds to answer option (d).

User Vasiliy Galkin
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