A board 65 inches long is sawed into two pieces, so that one piece is 7 inches shorter than twice the length of the other piece ? Find the length of the two pieces

Respuesta :

Answer:

The length of the two pieces are 41 in and 24 in

Step-by-step explanation:

Let

x -----> the length of one piece

y ----> the length of the other piece

we know that

[tex]x+y=65[/tex] -----> equation A

[tex]x=2y-7[/tex] -----> equation B

Solve the system of equations by substitution

Substitute equation B in equation A and solve for y

[tex](2y-7)+y=65\\ 3y=65+7\\ 3y=72\\ y=24\ in[/tex]

Find the value of x

[tex]x=2(24)-7\\ x=48-7=41\ in[/tex]

therefore

The length of the two pieces are 41 in and 24 in

Answer:

41 and 24 i the answer if you need explanion

Step-by-step explanation: