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Greg has a piece of rope 18 ft long. He wants to cut it into two pieces so that the longer piece (y) is 2 ft less than 3 times the length of the shorter piece (x).
Choose the two equations that will create our system of equations for this story problem.


A) x - y = 18

B) y = 2 - 3x

C) x + y = 18

D) y = 3x - 2

Respuesta :

absor201

Answer:

The required equations are:

C) x + y = 18

D) y = 3x - 2

Step-by-step explanation:

Let x be the length of shorter piece and y be the length of larger piece

It is given that the total length is 18 ft which gives us our first equation

[tex]x+y = 18[/tex]

Now it is also given that

"3 times the length of the shorter piece (x)"

[tex]3x[/tex]

"2 ft less than 3 times the length of the shorter piece (x)"

[tex]3x-2[/tex]

Second equation will be:

[tex]y = 3x-2[/tex]

Hence, the required equations are:

C) x + y = 18

D) y = 3x - 2

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