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lapo4ka [179]
3 years ago
5

What is the value of x in the equation 3x- 4y =65, when y= 4?

Mathematics
2 answers:
Alecsey [184]3 years ago
4 0

Answer:  The required value of x when y = 4 is 27.

Step-by-step explanation:  We are given to find the value of x in the following equation when y = 4 :

3x-4y=65~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To find the value of x, first we should write equation (i) as y as the dependent variable.

From equation (i), we have

3x-4y=65\\\\\Rightarrow 3x=65+4y\\\\\Rightarrow x=\dfrac{65+4y}{3}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Now, substituting y = 4 in equation (ii), we get

x\\\\\\=\dfrac{65+4y}{3}\\\\\\=\dfrac{65+4\times4}{3}\\\\\\=\dfrac{65+16}{3}\\\\\\=\dfrac{81}{3}\\\\=27.

Thus, the required value of x when y = 4 is 27.

Alexus [3.1K]3 years ago
3 0
3x-4y=65

3x=65+4y

x=(65+4y)/3, when y=4

x=(65+4*4)/3

x=(65+16)/3

x=81/3

x=27
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