Question

3x+2y=11 and 5x-2y=13 solve pair of linear equation​

Answer 1

x = 3 and  y = 1

Step-by-step explanation:

The given pair of linear equations​ are:

3x + 2y = 11                             .............(1)

and 5x - 2y = 13                     .............(2)

To find, the values of x and y = ?

Adding equations (1) and (2), we get

3x + 2y + 5x - 2y = 11 + 13    

⇒ 3x + 5x  = 24

⇒ 8x = 24

⇒ x = $\dfrac{24}{8}$

⇒ x = 3

Put x = 3 in equation (1), we get

3(3) + 2y = 11  

⇒ 9 + 2y = 11  

⇒ 2y = 11 - 9 = 2

⇒ y = 1

∴ x = 3 and  y = 1

Answer 2

The final value of x= 3 and y= 1

Step-by-step explanation:

$\ Given \ value:\\\\3x+2y=11\\\\5x-2y=13\\\\\ Find:\\\\x= ? \ and \ y= ?\\\\\ Solution:\\\\3x+2y=11.....(i)\\\\5x-2y=13.....(ii)\\\\\ add \ equation (ii) \ and \ (i) \ equation: \\\\\ 5x-2y=13\\\ 3x+2y=11 \\\ add \\8x = 24\\\\x= \frac{24}{8}\\\\x= 3\\\\\ put \ value \ in \ equation \ (i) \\\\3(3)+2y=11 \\\\\rightarrow 9+2y=11\\\\\rightarrow 2y=11-9\\\\\rightarrow 2y=2\\\\\rightarrow y= \frac{2}{2}\\\\\rightarrow y=1$

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