Question

Solve the following pair of linear equations using any algebraic method : x + y = 7 , 2x - 3y = - 11. *
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Answer 1

Answer:

x = 2

y =5

Step-by-step explanation:

x + y =7

y = 7 - x

2x -21 + 3x = - 11

5x = -11 + 21

x = 2

y = 5

Answer 2

Solution:-

x + y = 7 ............(i)eq

2x - 3y = - 11 ............(ii) eq

By Substitution method

From eq(i) we get

x + y = 7

x = 7 - y .............(iii) eq

Now substituting x = 7 - y on eq(ii)

2x - 3y = - 11

2( 7 - y ) - 3y = - 11

14 - 2y - 3y = - 11

- 5y = -11 - 14

y = 25/5

y = 5

Now substituting y = 5 on eq (iii)

x = 7 - y

x = 7 - 5

x = 2

$\boxed{ \bf \blue{Answer : x = 2 \: \: \: and \: \: \: \: y \: = 5}}$