The width of a rectangle is the length minus 6 units. The area of the rectangle is 27 units. What is the length, in units, of the rectangle?

The length is equal to x and the width is (x - 6), right?

The area of a rectangle is A = l * w so

l * w = A

x * (x - 6) = 7

x2 - 6x = 7

x2 - 6x - 7 = 0

(x-7)(x+1) =

x = 7 and x = -1

We cannot use x = -1 because we would end up with a negative length so we run with x = 7 as the length.

Step-by-step explanation:

c

step-by-step explanation:

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.