Question

15x+17y=21;17x+15y=11 simulainious methode
​

Answer 1

$\huge{ \underline{ \underline{ \boxed{ \sf{ \green{Detailed \: AnsweR}}}}}}$

Given two equations are :

• 15x + 17y = 21

• 17x + 15y = 11

Solving the first equation,

15x + 17y = 21

15x = 21 - 17y

$x = \frac{21 - 17y}{15}$

Now substituting the value of x in the second equation we get,

$17( \frac{21 - 17y}{15}) + 15y \: = 11$

$\frac{357 - 289y}{15} + 15y = 11$

Taking the LCM,

$\frac{357 - 289y + 225y}{15} = 11$

Taking the denominator 15 to the other side,

$357 - 289y + 225y = 15 \times 11 \\ \\ 357 - 64y = 165 \\ \\ - 64y = - 192 \\ \\ y = \frac{ - 192}{ - 64} \\ \\ \boxed{ y = 3}$

We got the value of y as 3.

Now substituting the value of y in equation 1,

$15x + (17 \times 3) = 21 \\ \\ 15x + 51 = 21 \\ \\ 15x = 21 - 51 \\ \\ x = \frac{ - 30}{15} \\ \\ \boxed{ x = - 2}$

Hence, the value of x = -2 and the value of y = 3

Answer 2

Answer:

I hope it helps you....

peace ✌☺️