Question

If 3x - 5y = 1, 2x/x-y= 4, then the value of (x + y) is :


(a) 3
(6) - 3
c 1/3
d -1/3​

Answer 1

the correct answer is

d)-1/3

Answer 2

Answer:

Correct answer is option (a) 3

Step-by-step explanation:
We have given that,
$3x -5y = 1 -----1 \\and \frac{2x}{x-y} = 4\\2x = 4x - 4y\\4x-2x-4y = 0\\2x-4y=0 ---------2$

From equation. 1, $x = \frac{1 + 5y}{3}$

Here we will be using substitution method : The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.

So, substituting above value of x in equation 2, we get,

$2(\frac{1 + 5y}{3} ) -4y = 0\\taking LCM,\\2+ 10y - 12y = 0 \\Or, 2-2y=0\\2y=2\\y=1$

By equation 1, we have,
$2x-4=0\\2x=4\\x=2$

Hence, we got x = 2 and y = 1,

Therefore $x+y=2+1=3$

Or, $x+y=3$