Question

e.4: Solve any two sub questions from
1) Solve the following simultaneous equation
4x - 3y = 0; 2x + 5y = 26
22​

Answer 1

$\textbf{Given:}$

$\mathsf{4x-3y=0}$

$\mathsf{2x+5y=26}$

$\textbf{To find:}$

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

$\textbf{Solution:}$

$\textsf{Consider,}$

$\mathsf{4x-3y=0}$---------(1)

$\mathsf{2x+5y=26}$---------(2)

$\mathsf{(1)-2{\times}(2)\implies}$

$\mathsf{4x-3y=0}$

$\mathsf{4x+10y=52}$

$\mathsf{-13y=-52}$

$\mathsf{y=\dfrac{-52}{-13}}$

$\implies\boxed{\mathsf{y=4}}$

$\mathsf{Put\;y=4\;in\;(1)}$

$\mathsf{4x-3(4)=0}$

$\mathsf{4x=12}$

$\mathsf{x=\dfrac{12}{4}}$

$\implies\boxed{\mathsf{x=3}}$

$\therefore\textbf{The solution is x=3 and y=4}$

$\textbf{Find more:}$

Solve the following simultaneous equations for 2x-Y = -1 ; 3x-Y = 7​

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