Question

49x-57y=172;57x-49y=252

Answer 1

Given :-

49x - 57y = 172 ........(i), and

57x-49y=252.............(ii)

Adding (i) and (ii), we get

106x - 106y = 424

=> x - y = 4 .................(iii)

Now substracting (i) and (ii), we get

-8x - 8y = -80

=> x + y = 10 ...............(iv)

Adding (iii) and (iv), we get

2x = 14

=> x = 7

putting the value of x in question (iii), we get

y = 3

Answer 2

Answer:

(x,y)=(7,3) is the solution

Step-by-step explanation:

49x - 57y = 172 ...(1)

57x - 49y =252 ...(2)

Adding equations (1) and (2),

49x - 57y = 172 ...(1)

+

57x - 49y = 252 ...(2)

106x - 106y =424

therefore, x - y = 4 ....(Dividing both the

sides by 106) ...(3)

subtracting equation (1) from equation (2),

57x - 49y = 252

-

49x - 57y = 172

-. +. -

8x + 8y = 80

therefore, x + y = 10 ...(Dividing both the

sides by 8) ...(4)

Adding equations (3) and (4)

x - y = 4

+

x +y = 10

2x. = 14

therefore, x = 7

Substituting x = 7 in equation (4)

7+y = 10

therefore, y=10-7. therefore, y=3

(x,y)=(7,3) is the solution.