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AleksandrR [38]
3 years ago
10

use the elimination method to solve the system of equations.choose the correct ordered pair. -3y=x-5 x+5y=7. ​

Mathematics
1 answer:
Paraphin [41]3 years ago
5 0

Answer:

<h2>B. (2, 1)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}-3y=x-5&\text{subtract x from both sides}\\x+5y=7\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-x-3y=-5\\x+5y=7\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad2y=2\qquad\text{divide both sides by 2}\\.\qquad\qquad y=1\\\\\text{Put the value of y to the second equation:}\\x+5(1)=7\\x+5=7\qquad\text{subtract 5 from both sides}\\x=2

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What is 0.02 written as a percent? Will give brainiest is fast and correct
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Step-by-step explanation:

  answer is; c. 2%

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3 years ago
(Recall, to solve |u| = c, one must solve u = c and u = −c.)<br> Solve: |3x-1| +2=8
11Alexandr11 [23.1K]

Answer:

The answer is 5/3, 1 2/3, and 1.67

Step-by-step explanation:

The answer to this problem is simple as everything between the two lines will come out to be a positive. So the equation will end up coming out to be 3x+1+2=8.

Now we add the 1 and 2....

3x+3=8

To make this problems simple we can subtract the 3 from the left side and do the same on the right side making the equation say...

3x=5

Now we can make it easier to solve but it will not be a whole number. We now divide 3 from the left and right side leaving us with....

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4 0
1 year ago
A biker travels the 120 mi from New York , NY to Wilmington, DE in 8 hours. A bus, a truck, and a rider on a horse take the same
creativ13 [48]

Answer:

The speed is inversely proportional to the time when the same distance is traveled.

Step-by-step explanation:

Given that:

The distance traveled by the biker in 8 hours is 120 mi.

The speed of the biker=120/8=15 mi/hr.

[as speed=Distance travelled/Time taken]

As all take the same route, so the distance traveled by all is the same which is 120 mi

The time taken by the bus to cover this distance is 2 hours.

So, the speed of the bus = 120/2=60 mi/hr.

The time taken by the truck is 2.5 hours.

So, the speed of the truck = 120/2.5=48 mi/hr.

And the time taken by the rider is 18.75 hours.

So, the speed of the rider = 120/18.75=6.40 mi/hr.

Now, observe that to cover the same distance, the bus takes the least time, so, the bus is traveling at the fastest speed among all, while the rider has the slowest speed as the distance is the same for all. The truck and the biker have speed in between the speed of the bus and the rider.

It can be concluded that when the time of the journey for the same distance is less than speed is more.

So, the speed is inversely proportional to the time when the same distance is traveled.

Or, \text{Speed}\propto\frac{1}{Time}

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3 years ago
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