Question

by substitution method 6 x minus 2 Y + 10 equal to zero 2 x minus y + 9 = 0 class 10th​

Answer 1

Answer :

x = 4 ; y = 17

Solution :

6x - 2y + 10 = 0 __________ ( 1 )

2x - y + 9 = 0 ____________ ( 2 )

From equation ( 1 ),

6x - 2y + 10 = 0

⇒ 6x = 2y - 10

$\sf\therefore x = \dfrac{2y-10}{6}$ ________ ( 3 )

Now, substitute the value of x in equation ( 2 ),

2x - y + 9 = 0

$\sf 2 ( \dfrac{2y-10}{6}) - y + 9 = 0$

$\sf\implies \dfrac{4y - 20}{6} - y + 9 = 0$

$\sf\implies \dfrac{4y - 20 - 6y + 54}{6} = 0$

$\sf \implies 4y - 6y + 34 = 0\times 6$

$\sf \implies -2y + 34 = 0$

$\sf\implies y = \dfrac{-34}{-2}$

$\sf\therefore y = 17$

∴ value of y is 17.

Substitute the value of y in equation ( 3 ). we get,

$\sf x = \dfrac{2(17) -10}{6}$

$\sf x = \dfrac{34 - 10}{6}$

$\sf x = \dfrac{24}{6}$

$\sf\therefore x = 4$

Value of x is 4.

$\rule{200}2$