Question

How to solve this Simultaneous equation by elimination method?
6x+15y=3
6x-4y=60

Answer 1

Answer:

$\: \: \: \: 6x + 15y = \: \: \: \: 3 \\ \: \: \: \: 6x - \ \: 4 y = \: \: 60 \\ - \: \: \: \: \: \: + \: \: \: \: \: \: \: \: \: \: \: - \\\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 19y = - 57 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y \: = \frac{ - 57}{19} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y \: = - 3$

Putting value of y :

$\: \: \: \: \: \: \: 6x + 15y = 3$

$= > 6x + 15 \times ( - 3)= 3$

$= > 6x + ( - 45) = 3$

$= > 6x - 45 = 3$

$= > 6x = 3 + 45$

$= > 6x = 48$

$= > x = \frac{48}{6}$

$= > x = 8$

Answer 2

$\huge{\bf{ \red{\fbox{ \color{blue}{Answer :-}}}}}$

6x + 15y = 3 ........(1)

6x - 4y = 60 .........(2)

Usimg equation 1 and 2

6x + 15y = 3

6x - 4y = 60 (Changing sign )

- + -

_________

19y = - 57

y = -57/19

y = -3

$\huge{\bf{ \green{\fbox{ \color{blue}{y = -3}}}}}$

Put Value of y in equation 2.

6x - 4(-3) = 60

6x + 12 = 60

6x = 60 - 12

6x = 48

x = 48/6

x = 8

$\huge{\bf{ \green{\fbox{ \color{blue}{x = 8}}}}}$

$\huge{\ddot{\red{\smile}}}$