Question

2y-x=0;10x+15y=105 how to solve this linear equation in two variable

Answer 1

2y-x=0 ... 1

10x+15y=105 ... 2

multiplying equation 1 by 10 we get

20y-10x=0 ... 3

adding equation 2 and 3 we get

35y=105

y=3

x=6

Answer 2

Answer:

=> The value of x = 6 and y = 3.

Step-by-step explanation:

The given equations

$2y-x=0$

$2y=x$

∴ $x=2y$    

$10x+15y=105$   $...(i)$

Now, substitute x value in equation ( i )

=> $10x+15y=105$

=> 10 ( 2y ) + 15y = 105

=> 20y + 15y = 105

Add the like terms,

=> ( 20 + 15 )y = 105

=> 35y = 105

$=> y = \frac{105}{35}$

=> y = 3

So, the value of y is 3.

For x, substitute the value of y in $x=2y$

=> $x=2(3)$

=> $x=6$

So, the value of x is 6.