Question

49x-57y=172, 57x-49y=252
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Answer 1

Answer:

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

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

adding equations (1) and (2),

=> 106x - 106y = (172 + 252) = 424

=> 106(x - y) = 424

=> x - y = 4, y = 4 + y put it equation (1),

49(4 + y) - 57y = 172

=> 196 + 49y - 57y = 172

=> 196 - 8y = 172

=> 196 - 172 = 8y

=> 24 = 8y

=> y = 3 and x = 4 + y = 4 + 3 = 7

Answer 2

Answer:

x=7, y=3

Step-by-step explanation:

Its a question of simultaneous equation

49x -57y=172 -Equation 1

57x -49y=252 -Equation 2

First add both the the equations

On adding them u will get,

106x-106y=424, simplify this equation

x-y=4 -Equation 3

Now subtract eq. 1 and eq. 2

On subtracting u will get,

-8x-8y=-80

x+y=10 - Equation 4

Add Equation 3 and Equation 4

x+y=10

x-y=4

2x=14,so x=7

Put x in Equation 3

7-y=4

So, y=3