Question

(iii) সসীম দশমিক সংখ্যা বা আবৃত্ত দশ
3. সমাধান করাে : 4x - 3y = 16; 6x + 5y = 62.​

Answer 1

$\textbf{Given:}$

$4x-3y=16$

$6x+5y=62$

$\textbf{To find:}$

$\text{Solution of the given system of equations}$

$\textbf{Solution:}$

$\text{We use Elimination method to solve the given system equations}$

$\text{Let}$

$4x-3y=16$.........(1)

$6x+5y=62$........(2)

$(1){\times}5\implies\;20x-15y=80$

$(2){\times}3\implies\;18x+15y=186$

$\text{Adding, we get}$

$38\,x=266$

$x=\dfrac{266}{38}$

$\implies\bf\,x=7$

$\text{Put x=7 in (2), we get}$

$6(7)+5y=62$

$42+5y=62$

$5y=62-42$

$5y=20$

$y=\dfrac{20}{5}$

$\implies\bf\,y=4$

$\textbf{Answer:}$

$\textbf{Solution is x=7 and y=4}$

Find more:

8x-19y=2550

7x-16y=2550

Solve by elimination method class 10

https://brainly.in/question/14794088#

Answer 2

Answer:

Solve equation [2] for the variable x

[2] 6x = 5y + 62

[2] x = 5y/6 + 31/3

// Plug this in for variable x in equation [1]

[1] 4•(5y/6+31/3) - 3y = 16

[1] y/3 = -76/3

[1] y = -76

// Solve equation [1] for the variable y

[1] y = - 76

// By now we know this much :

x = 5y/6+31/3

y = -76

// Use the y value to solve for x

x = (5/6)(-76)+31/3 = -53