2x y=6 #160; #160;.... (1) x y=2 #160; .... (2) Eqn (2) Eqn (1) we get x y 2x+y=2 6 ⇒ x= 4 or x=4 Substitut ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Rectangle

Solve 2x-y=6...

Question

Solve
$2 x - y = 6, x - y = 2$

Open in App

Solution

$2 x - y = 6$ .... $(1)$
$x - y = 2$ .... $(2)$
Eqn $(2) -$ Eqn $(1)$ we get
$x - y - 2 x + y = 2 - 6$
$\Rightarrow - x = - 4$ or $x = 4$
Substitute $x = 4$ in $(1)$ we get
$2 x - y = 6 \Rightarrow 2 \times 4 - y = 6$
or $8 - y = 6$ or $- y = 6 - 8$ or $y = 2$
$∴ x = 4, y = 2$

Suggest Corrections

Similar questions

2 x - y = 6, x - y = 2

x = - y + 6

2 (x + y) = 4 - 3 y

x^{2} + y^{2} - 3 = 3 x y

2 x^{2} - 6 + y^{2} = 0

\frac{x - y}{6} = 2

2 x + y = 3 (x - 4)

Join BYJU'S Learning Program