a total of 678 tickets were sold for the school play. They were either adult tickets or student tickets. there were 72 fewer stu
2 answers:
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Answer:
(x, y) = (1, -1)
Step-by-step explanation:
We'll write these equations in general form, then solve using the cross-multiplication method.
43x +67y +24 = 0
67x +43y -24 = 0
∆1 = (43)(43) -(67)(67) = -2640
∆2 = (67)(-24) -(43)(24) = -2640
∆3 = (24)(67) -(-24)(43) = 2640
These go into the relations ...
1/∆1 = x/∆2 = y/∆3
x = ∆2/∆1 = -2640/-2640 = 1
y = ∆3/∆1 = 2640/-2640 = -1
The solution is (x, y) = (1, -1).
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<em>Additional comment</em>
The cross multiplication method isn't taught everywhere. The attachment explains a bit about it. Our final relationship changes the order of the fractions to 1, x, y from x, y, 1. That way, we can use the equation coefficients in their original general-form order. (The fourth column in the 2×4 array of coefficients is a repeat of the first column.)
Answer:
width =5.5ft
length =18
Step-by-step explanation:
w=x
L=2x+7
area=w*L
99 = x(2x+7)
2x(x+9)-11(x+9)=0
(2x-11)(x+9)=0
2x-11=0
2x=11
x=11/2
x=5.5
L=2x+7=2*5.5+7=11+7=18