Question

If x=a, y=b is the solution of equations x-4y-14=0 and 5x-y-13=0,then values of a and b are respectively​

Answer 1

Answer:

x-4y=14 ....(1)

5x−y=13 ....(2)

By the method of substitution,

Substituting x=4y+14 from (1) in eqn(2) we get

5x−y=13

⇒5(4y+14)−y=13

⇒20y+60−y=13

⇒19y=13−60=−47

∴y=

19

−47

Put y=

19

−47

in (1) we get

x−4y=14⇒x−4×

19

−47

=14

⇒x+

14

188

=14

⇒x=14−

14

188

=

14

196−188

=

14

8

=

7

4

∴x=

7

4

,y=

19

−47