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Answer :

Topic : Linear equations in two variables.

Given :

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

Solution :

Now,

(i) – (ii)

[tex]\qquad \sf \: { \dashrightarrow 2x - y - ( - x - y) = 3 - 3}

[/tex]

[tex]\qquad \sf \: { \dashrightarrow 2x - y + x + y) = 3 - 3}

[/tex]

[tex]\qquad \sf \: { \dashrightarrow 3x = 0}

[/tex]

[tex]\qquad \bf \: { \dashrightarrow x = 0}

[/tex]

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

[tex]\qquad \sf \: { \dashrightarrow 2x - y = 3 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow 2(0)- y = 3 }[/tex]

[tex]\qquad \sf \: { \dashrightarrow 0- y = 3 }[/tex]

[tex]\qquad \bf \: { \dashrightarrow y = - 3 }[/tex]

Therefore,

  • The value of x = 0 and y = -3

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