Question

14.Solve: 2x + y = 3 and x − y = 1.

Answer 1

Step-by-step explanation:

2x+y=3⇒y=3−2x

Substituting y=3−2x in x−2y=1 we get

x−2(3−2x)=1

⇒x−6+4x=1

⇒5x=1+6=7

⇒x= 5

7

Put x=

5

7

in x−2y=1 we get

⇒

5

7

−2y=1

⇒−2y=1−

5

7

=

5

5−7

=

5

−2

⇒y=

5

1

∴x=

5

7

,y=

5

1

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Answer 2

Step-by-step explanation:

2x+y=3

x-y =1

3x=4

x=4/3

y=-1/3

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