Question

68. The solution of the system of equations
2x + 5y = 0 and 13x - V7y= 0 is-
(A) x =
15 (B) x =
√2, y=ſi
(C) x= 1, y = 2 (D) x = 0, y = 0
13,y=​

Answer 1

$\textbf{Given:}$

$\textsf{Equations are}$

$\mathsf{2x+5y=0\;\;and\;\;13x-7y=0}$

$\textbf{To find:}$

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

$\textbf{Solution:}$

$\textsf{We apply elimination method to solve the given system of equations}$

$\mathsf{2x+5y=0}$...........(1)

$\mathsf{13x-7y=0}$...........(2)

$\mathsf{(1){\times}7+(2){\times}5\implies}$

$\mathsf{14x+35y=0}$

$\mathsf{65x-35y=0}$

$\implies\mathsf{79x=0}$

$\implies\mathsf{x=0}$

$\textsf{Put x=0 in (1), we get}$

$\mathsf{2(0)+5y=0}$

$\mathsf{5y=0}$

$\implies\boxed{\mathsf{y=0}}$

$\therefore\textsf{The solution is x=0 and y=0}$

$\textbf{Answer:}$

$\mathsf{Option (D) is correct}$

$\textbf{Find more:}$

8x-19y=2550

7x-16y=2550

Solve by elimination method class 10

https://brainly.in/question/14794088

4x - 3y = 16; 6x + 5y = 62.​

https://brainly.in/question/19741570