Question

2x-y=3
-x-y=3

what does this equal system of equations

Answer 1

Topic : Linear equations in two variables.

Given :

• 2x - y = 3 ––– (i)
• - x - y = 3 ––– (ii)

Solution :

Now,

(i) – (ii)

`\qquad \sf \: { \dashrightarrow 2x - y - ( - x - y) = 3 - 3}</p><p>`

`\qquad \sf \: { \dashrightarrow 2x - y + x + y) = 3 - 3}</p><p>`

`\qquad \sf \: { \dashrightarrow 3x = 0}</p><p>`

`\qquad \bf \: { \dashrightarrow x = 0}</p><p>`

Now, substituting the value of x in Eq (i) :

`\qquad \sf \: { \dashrightarrow 2x - y = 3 }`

`\qquad \sf \: { \dashrightarrow 2(0)- y = 3 }`

`\qquad \sf \: { \dashrightarrow 0- y = 3 }`

`\qquad \bf \: { \dashrightarrow y = - 3 }`

Therefore,

• The value of x = 0 and y = -3