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April 17, 2014

Homework Help: Geometry

Posted by Anonymous on Tuesday, February 21, 2012 at 4:41pm.

Given: 7x + 2 = 2 + 5x 6
Prove: x = 3

Given the equation 7x + 2 = 2 + 5x 6, use the commutative property to rearrange the terms so that like terms are next to one another. This gives the equation 7x + 2 = 2 6 + 5x. Then, use the ____________________ to group the like terms. This gives the equation 7x + 2 = (2 6) + 5x. Next, combine like terms to get the equation 7x + 2 = 4 + 5x. Use the subtraction property of equality to subtract 5x from both sides of the equation. This gives the equation 2x + 2 = 4. Then use the subtraction property of equality again to subtract 2 from both sides of the equation. This gives the equation 2x = 6. Finally, use the division property of equality to divide both sides of the equation by 2 to give a final solution of x = 3. Therefore, given the equation 7x + 2 = 2 + 5x 6, x is equal to 3.

Which justification was left out of the paragraph proof above?
Answer
A. Commutative Property of Addition
B. Associative Property of Addition
C. Distributive Property
D. Addition Property of Equality

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