Question

Solve the Following Simultaneous Equation.49x – 57y = 172; 57x – 49y = 252

Answer 1

Answer:

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=7 and y=3

Step-by-step explanation:

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