Question

Solve for ‘x’ and ‘y’: Solve for ‘x’ and ‘y’:

5

x−3

+

1

y−4

= 2;

6

x−3

−

3

y−4

= 1​

Answer 1

Answer:

5 x + y -9 = 0; ....[1]

6 x - 3 y - 8 = 0 ....[2]

Step-by-step explanation:

Using substitution method to solve this pair of linear equation;

Taking the equation 1 and find the value of x

x = 9 - y/5 ....[3]

So, putting the value of x in equation 2.

6(9 - y/5) - 3 y - 8 = 0

54 - 6 y/5 - 3 y - 8 = 0

54 - 6 y - 15 y/5 = 8

54 - 21y/5 = 8

54 - 21 y = 40

- 21 y = 40 - 54

- 21 y = - 14

y = - 14/- 21

y = 2/3

Putting the value of y in equation 3:

x = 9 - 2/3/5

x = 25 - 2/3/5

x = 23/3/5

Reciprocal of its denominator 5 we get,

x = 23/3 × 1/5

x = 23/15

So, the value of x and y is 23/15 and 2/3.

Answer. x= 23/15 and y= 2/3