A piece of wire with a length of 32 inches is cut into two parts. One part has a length

Question

A piece of wire with a length of 32 inches is cut into two parts. One part has a length of x inches, and the other part has a length of y inches. The value of x is 4 more than 3 times the value of y . What is the value of x ?

Accepted Answer

The correct answer is 25 . It&rsquo;s given that a piece of wire has a length of 32 inches and is cut into two parts. It&rsquo;s also given that one part has a length of x inches and the other part has a length of y inches. It follows that the equation x + y = 32 represents this situation. It&rsquo;s also given that the value of x is 4 more than 3 times the value of y , or x = 3 y + 4 . Substituting &#160; 3 y + 4 &#160; for x in the equation x + y = 32 yields 3 y + 4 + y = 32 . Combining like terms on the left-hand side of this equation yields 4 y + 4 = 32 . Subtracting 4 from both sides of this equation yields 4 y = 28 . Dividing both sides of this equation by 4 yields y = 7 . Substituting 7 for y in the equation x = 3 y + 4 yields x = 3 ( 7 ) + 4 , or x = 25 . Therefore, the value of x is 25 .

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