Simplify the following problem using the distributive property: \(2x + 3y + 2(x - y) - 3x\).
Show each step in your calculation. Justify each of your steps using number properties.
Answer (2)
2x + 3y +2(x-y) - 3x 2x + 3y + 2x - 2y - 3x ( get rid of the bracket by multipling 2 by the x -y) 2x + 2x - 3x + 3y - 2y ( group like terms) x + y (final answer)
The expression 2 x + 3 y + 2 ( x − y ) − 3 x simplifies to x + y by using the distributive property and combining like terms. We first distribute 2 across x − y , rewrite the expression, and then group and simplify like terms. This results in the final simplified expression of x + y .
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