Question

solve for x andy: y - 4x = 1 and 6x -5y = 9.​

Answer 1

Answer:

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Answer 2

$\bold{\boxed{Sølutiøn}}$

$given \\ \: \: \: y - 4x = 1 - - - (1) \\ and \: \: \: 6x - 5y = 9 - - - (2) \\ now \\ \: \: \: \: \: (1) = > y - 4x = 1 \\ = > x = \frac{y - 1}{4} - - - - - (3)$

putting the value of x in eq.(2),

$6 \times \frac{y - 1}{4} - 5y = 9 \\ = > \frac{3y - 3}{2} - 5y = 9 \\ = > \frac{3y - 3 - 10y}{2} = 9 \\ = > - 3 - 7y = 18 \\ = > - 7y = 18 + 3 \\ = > - 7y = 21 \\ = > y = - 3$

putting the value of y in eq.(3),

$x = \frac{y - 1}{4} \\ = \frac{ - 3 - 1}{4} \\ = \frac{ - 4}{4} \\ = - 1$

Hence, X=-1

Y=-3

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