2.17720 × 10^2 is the answer
Answer:
Step-by-step explanation:
When the coefficients don't lend themselves to solution by substitution or elimination, then Cramer's Rule can be useful. It tells you the solutions to
are ...
- ∆ = bd -ea
- x = (bf -ec)/∆
- y = (cd -fa)/∆
Using that rule here, we find ...
∆ = 5·3 -6·2 = 3
a = (5·54 -6·41)/3 = 5·18 -2·41 = 90 -82 = 8
s = (41·3 -54·2)/3 = 41 -18·2 = 5
This math can be performed in your head, which is the intent of formulating the rule in this way.
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Similarly, if you expect the solutions to be small integers (as here), then graphing is another viable solution method.
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<em>Comment on the question</em>
We're sad to see than only 16 tickets were sold to the two performances by the symphonic band.
The answer is 14 because you just have to pick a number to work with so it is 14.
the complete question is
If we add 5 to the denominator And subtract 5 from the numerator of a fraction ot reduces to 1/7. if we subtract 3 from the numerator and add 3 to its denominator ot reduces to 1/3. find the fraction.
Let
x/y-----------> the fraction
we know that
(x-5)/(y+5)=1/7------>7*(x-5)=(y+5)-----> y=7x-35-5----> y=7x-40----> equation 1
(x-3)/(y+3)=1/3----> 3*(x-3)=y+3----> y=3x-9-3----> y=3x-12------> equation 2
equate equation 1 and equation 2
7x-40=3x-12-----> 7x-3x=40-12------> 4x=28-----> x=7
y=3x-12------> y=3*7-12-----> y=9
x/y=7/9
the answer is
the fraction is 7/9
4x+12=1x+60
4x+12=x+60 Move terms
4x-x=60-12 collect the like terms
Subtract
3x=48
Divide both sides by 3
X=16