Question

Solve for X and Y 2x-3y+8=0;x-4y+7=0​

Answer 1

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Answer 2

$\mathfrak{\huge{Answer:}}$

The two given equations are :

$\tt{2x - 3y + 8 = 0\:and\:x - 4y + 7 = 0}$

Find the value of x from both these equations and then keep them equal to each other. You will find the value of one variable and then, keep that obtained value in any equation to get the value of the other variable.

x = $\sf{\frac{3y - 8}{2}}$

x = 4y - 7

Keep these values equal to each other and then solve :

$\sf{\frac{3y - 8}{2} = 4y - 7}$

=》 3y - 8 = 2 ( 4y - 7 )

=》 3y - 8 = 8y - 14

=》 (-8) + 14 = 8y - 3y

=》 6 = 5y

=》 y = $\frac{6}{5}$

x = 4($\frac{6}{5}$) - 7

x = $\frac{24 - 35}{5}$

x = $\frac{(-11)}{5}$

The final answers are :

$\boxed{\tt{x = \frac{(-11)}{5} \:and\:y = \frac{6}{5}}}$