Answer:
The answer is:
She used the wrong common denominator
Step-by-step explanation:
Solving the given equation
Lets consider the steps given in the question:
Lets compare both solutions:
In the original solution, the denominator of first term is (x-2)(x-3)
In the solution given in the question, the denominator of first term is (x-2)(x+3).
So the mistake she did in step 2 was that she change the sign of 3 in (x-3) from negative to positive, due to which she gets the wrong common denominator shown in Step 3.
Answer:
<em><u>option d is the right answer</u></em>
The smallest county is 129 square miles large.
Step-by-step explanation:
Let,
Smallest county = x
Largest county = y
According to given statement;
The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state.
y = x+6064 Eqn 1
The size of the largest county is 48 times the size of the smallest county plus one square mile.
y = 48x+1 Eqn 2
As Eqn 1 and Eqn 2 are both equal to y, therefore,
Eqn 1 = Eqn 2
Dividing both sides by 47
The smallest county is 129 square miles large.
Keywords: linear equation, substitution method
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