Answer
Step-by-step explanation:
(15x-8y)=52
180=90+52+x
x=38
System of equations:
15x-8y=52
6x+14y=38
y=-6.5+15/8x
6x+14(-6.5+15/8x)=38
6x-91+26.25x=38
32.25x=129
x=4
15(4)-8y=52
60-8y=52
-8y=-8
y=1
x=4
Step-by-step explanation:
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1. First, let us define the width of the rectangle as w and the length as l.
2. Now, given that the length of the rectangle is 6 in. more than the width, we can write this out as:
l = w + 6
3. The formula for the perimeter of a rectangle is P = 2w + 2l. We know that the perimeter of the rectangle in the problem is 24 in. so we can rewrite this as:
24 = 2w + 2l
4. Given that we know that l = w + 6, we can substitute this into the formula for the perimeter above so that we will have only one variable to solve for. Thus:
24 = 2w + 2l
if l = w + 6, then: 24 = 2w + 2(w + 6)
24 = 2w + 2w + 12 (Expand 2(w + 6) )
24 = 4w + 12
12 = 4w (Subtract 12 from each side)
w = 12/4 (Divide each side by 4)
w = 3 in.
5. Now that we know that the width is 3 in., we can substitute this into our formula for length that we found in 2. :
l = w + 6
l = 3 + 6
l = 9 in.
6. Therefor the rectangle has a width of 3 in. and a length of 9 in.
6 + (-3) would be the same as just saying 6-3 which would be equal to positive 3
