5x-2y=3 -5x+4y=9 Solve the system of equations
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The given question is incomplete. The complete question is:
Omar rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 98 cents for each mile driven. Omar had to pay $23 when he returned the truck. For how many mile did he drive the truck?
Answer: Omar drove the truck for 5.15 miles
Step-by-step explanation:
Base fee = 17.95 $
Additional charge per mile = 98 cents = 0.98 $ ( 100cents = 1$)
Now Omar payed = 22 $
Let the miles he travelled = x
Now ,
Solvimg for x :
Thus Omar drove the truck for 5.15 miles
ANSWER
where,
EXPLANATION
We want to simplify the rational expression
We can observe that the numerator of the given rational expression is a quadratic trinomial and the denominator is a difference of two squares
We need to split the middle term in the numerator and rewrite the denominator as a difference of two squares to obtain,
We now factor to obtain,
This implies that,
We now cancel out common factors to obtain,
The restriction is that, the denominator cannot be zero.
Thus
This implies that,
where,
EXPLANATION
We want to simplify the rational expression
We can observe that the numerator of the given rational expression is a quadratic trinomial and the denominator is a difference of two squares
We need to split the middle term in the numerator and rewrite the denominator as a difference of two squares to obtain,
We now factor to obtain,
This implies that,
We now cancel out common factors to obtain,
The restriction is that, the denominator cannot be zero.
Thus
This implies that,