Answer:
(x, y) = (2, 5)
Step-by-step explanation:
I find it easier to solve equations like this by solving for x' = 1/x and y' = 1/y. The equations then become ...
3x' -y' = 13/10
x' +2y' = 9/10
Adding twice the first equation to the second, we get ...
2(3x' -y') +(x' +2y') = 2(13/10) +(9/10)
7x' = 35/10 . . . . . . simplify
x' = 5/10 = 1/2 . . . . divide by 7
Using the first equation to find y', we have ...
y' = 3x' -13/10 = 3(5/10) -13/10 = 2/10 = 1/5
So, the solution is ...
x = 1/x' = 1/(1/2) = 2
y = 1/y' = 1/(1/5) = 5
(x, y) = (2, 5)
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The attached graph shows the original equations. There are two points of intersection of the curves, one at (0, 0). Of course, both equations are undefined at that point, so each graph will have a "hole" there.
Jocelyn has to spend $13.46 on gas.
To find this, you first have to determine the number of miles she drives. You can find this by multiplying the speed by the travel time.
65 miles per hour * 1.5 hours = 97.5 miles.
Now that he have the amount of miles she drives, we can find the amount of gas she spends. In order to do that we'll divide the distance by the rate.
97.5 miles / 25 miles per gallon of gas = 3.9 gallons
Now we can determine the cost by multiplying the amount of gallons by the price.
3.9 gallons * $3.45 per gallon = $13.46
Answer:
9.92
Step-by-step explanation:
8.63 x 1.15=9.92