Question

which expressions are equivalent to the expression (x-y) 5/8 - 1/4x +y? answers: 3/8x + 3/8y, 3/8x + 1 5/8y, 5/8x - y - 1/4x + y, 5/8x - 5/8y - 1/4x + y, 5/8x - 1/4x + y - 5/8y

Answer 1

(a) 3/8x +3/8y

(d) 5/8x -5/8y -1/4x +y

(e) 5/8x - 1/4x + y - 5/8y

Explanation:

An equivalent expression can be found by simplifying the given expression, removing parentheses and combining like terms.

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(x -y)(5/8) -1/4x +y

= 5/8x -5/8y -1/4x +y . . . . . use distributive property

= 5/8x -1/4y +y -5/8y . . . . . . reorder terms

= (5/8 -1/4)x +(1 -5/8)y . . . . . group like terms

= 3/8x +3/8y