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LuckyWell [14K]
4 years ago
14

Can someone please help me solve this system of equations

Mathematics
1 answer:
sergejj [24]4 years ago
4 0

Answer:

x=15 and y=2

Step-by-step explanation:

The given system of equations is

8y - x = 1                    ...............(i)

and

10 y = x + 5                 ...............(ii)

Now from equation (ii)

10 y = x + 5

subtracting -5 from both sides

10 y - 5 = x + 5 - 5

10 y -5 = x  

or

x = 10y -5 ............(iii)

Put this in equation (i)

it becomes

8y - (10y -5) = 1

8y-10y+5=1

-2y+5 =1

subtracting 5 from both sides

-2y + 5 -5 = 1 -5

-2y = -4

dividing both sides by -2 gives

-2y / -2  = -4 / -2

y = 2

We got the value of y putting it in equation (iii) to get the value of x

as from equation (iii)

x = 10y-5

x = 10(2) - 5

x = 20 -5

x = 15

So this is the solution from the equations

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Answer: (3) f(8) = g(8)

<u>Step-by-step explanation:</u>

Let's compare the values of f(x) and g(x) when x = 0, 2, 8, and 4

<u>      f(x)       </u>                      <u>      g(x)        </u>            <u>Comparison</u>

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f(2) = 2(2) - 3                     g(2)=\dfrac{3}{2}(2)+1

     = 1                                      = 4                     f(2) < g(2)

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f(4) = 2(4) - 3                     g(4)=\dfrac{3}{2}(4)+1

      = 5                                   = 7                       f(4) < g(4)


The only statement provided that is true is f(8) = g(8)




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Answer:

The answer to your question is below

Step-by-step explanation:

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