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Elena-2011 [213]
3 years ago
8

Solve the system using substitution. 2x + 2y = 30 y - 4x = 0 ( _ , _ )

Mathematics
2 answers:
Kay [80]3 years ago
7 0

Answer:

x = 3

y= 12

Step-by-step explanation:

2x + 2y = 30

y - 4x = 0  /*2

2x + 2y = 30

2y - 8x = 0

-----------------

10x = 30

x = 3

y= 12

monitta3 years ago
4 0

Answer:

( <u>3</u> , <u>1</u><u>2</u> )

Step-by-step explanation:

2x + 2y = 30 and y - 4x = 0 are two given equation

Name The equation

2x + 2y = 30 ...(1)

y - 4x = 0

y = 4x ...(2)

Now, Put the value of y in equation 1

2x + 2y = 30

2x + 2(4x) = 30

2x + 8x = 30

10x = 30

x = 30/10

x = 3

Now,

Put the value of x in equation 2

y = 4x

y = 4(3)

y = 12

Thus, The value of x is 3 and the value of y is 12

<h3><u>FOR</u><u> </u><u>VERIFICATION ONLY</u><u>:</u><u>-</u></h3>

2x + 2y = 30 ...(1)

2(3) + 2(12) = 30

6 + 24 = 30

<u>30 = 30</u>

y = 4x ...(2)

12 = 4(3)

<u>12 = 12</u>

Hence, L.H.S = R.H.S

<u>-TheUnknown</u><u>Scientist</u>

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The function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \rm y = a^x

where a is a constant and a>1

We have; an exponential function that passes through the point (2, 80).

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Plug (2, 80) in the abovew function:

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Plug (2, 80) in the abovew function:

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Thus, the function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.

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