Answer:
30 inches
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!