Question

if 3x-5y=1 and 2x/x-y=4 then what is the value of x+y​

Answer 1

Answer:

$x + y = 3$

Step-by-step explanation:$4y - 2x + 3x - 5y = 1$

$3x - 5y = 1$ & $\frac{2x}{x-y} = 4$

Solving 2nd equation,

$\frac{2x}{x-y} = 4\\\\2x = 4x - 4y\\\\4y - 2x = 0$

Multiplying by 3 on both sides, we get

$3(4y - 2x) = 3*0\\\\12y - 6x = 0$---equation 3

Multiplying by 2 on both sides in equation 1, we get

$2(3x - 5y) = 2*1\\\\6x - 10y = 2$---equation 4

Add equation 3 and 4

$12y - 6x + 6x - 10y = 0 + 2\\\\2y = 2\\\\y = 1$

Put the value of y in equation 1

$3x - 5(1) = 1\\\\3x - 5 = 1\\\\3x = 6\\\\x = 2$

Thus, $x + y = 1 + 2 = 3$