Irvin cut a 47 in. wire into two pieces. the longer piece is 13 in. longer than the shorter piece. what is the length of the longer piece? enter your answer in the box.

30 inches

Step-by-step explanation:

Hello!

Let's have both sides represent y and x.

So x would represent the longer piece, and y the shorter.

x + y = 47

x = y + 13

ok so we know that x is basically y+13, and then you add another y to get 47.

y + 13 + y = 47

Combine like terms

2y + 13 = 47

2y = 47 - 13

And solve :)

2y = 34

y = 34/2

y = 17

Now remember, y is the shorter piece, we are looking for the longer piece. In order to do that, we plug y back into the equation to find x.

x = y + 13

x = 17 + 13

17+13 = 30 !!

Therefore,

x = 30

The long piece is 30 inches.

Hope this helps!

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