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podryga [215]
2 years ago
5

Solve the simultaneous equations 2x+3y=13 4x-y=-2

Mathematics
1 answer:
kherson [118]2 years ago
4 0
From eq1 ,
2x = 13-3y
x = 6.5-1.5y (eq 3)
sub eq 3 into eq2,
4(6.5-1.5y)-y=-2
26-6y-y=-2
-6y-y=-2-26
-7y=-28
7y=28
y=4 ( eq 4 )
sub eq4 into eq3 ,
x=6.5-1.5(4)
x=6.5-6
x=0.5


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Complete Question:

As you may have intentionally forgotten to mention the important data elements in your question like at what rate a car is travelling and number of hours car will travel in required number of miles etc. After a little research it seems I have found the complete question you were supposed to write. Hence, I am answering based on this complete question, but anyways, it would certainly improve your concept. Here is the complete question:

<em>A car is traveling at a rate of 60 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.</em>

<em>Answer:</em>

The car will travel 37.5 miles in one hour.

The car travel 150 miles in 4 hours.

<em>Fetching data from Question:</em>

The rate at which car is traveling: 60 kilometers per hour

one mile = 1.6 km

<em>a) How many miles a car will travel in one hour?</em>

<em>b) How many miles will the car travel in 4 hours?</em>

<em>Calculation:</em>

<em>a) How many miles a car will travel in one hour?</em>

As one mile is equal to 1.6 km.

The rate at which car is traveling: 60 kilometers per hour

So, just divide 60 with 1.6 to get in miles

                      i.e. 60/1.6 = 37.5 miles per hour  

So, the car will travel 37.5 miles in one hour.

<em>b) How many miles will the car travel in 4 hours?</em>

As the car will travel 4 hours.

And car travels 37.5 miles in one hour

So, just multiply the number of hours i.e. 4 with the miles in one hour (speed) i.e. 37.5 to calculate the distance in 4 hours. So,

                                 The distance =  speed × time

                                                        =  37.5  × 4

                                                        =  150 miles

So, the car travel 150 miles in 4 hours.

<em />

<em>Keywords: distance, speed, kilometers, miles</em>

<em> learn more about distance travel and speed from brainly.com/question/12580265 </em>

<em> #learnwithBrainly</em>

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