Question

A 96-inch board is cut into two pieces. One piece is 6-inches longer than twice the other piece. Let x = the length of the first piece. Let y = the length of the second piece. Which is the system of equations that represents this situation? *

x - y = 96; y = 6x + 2
x + y = 96; y = 2x + 6
x + y = 6; y = 96x + 2
x - y = 2; y = 6x + 96

Answer 1

B

Explanation:

ok so since the two pieces added together just be 96 inches, we know that

x+y=96

that already eliminates everything but B.

let's keep going though.

let's have y be the piece that is 6 inches longer than double the length of the other piece.

y=2x+6