Question

solve for the pair of equation 49 X + 51 Y equal to 499 ,51 X + 49 Y equal to 501​

Answer 1

Step-by-step explanation:

49 X + 51 Y = 499....... (1)

51 X + 49 Y = 501........(2)

Adding equations (1) & (2)

100 X + 100 Y = 1000

X + Y = 10.......(3)

SUBTRACTING EQUATION (1) FROM EQUATION (2)

2X - 2Y = 2

X - Y = 2........ (4)

ADDING EQUATIONS (3) & (4)

2X = 12

X = 12/2

X = 6

FROM EQUATION (3)

6 + Y = 10

Y = 10 - 6

Y = 4

HENCE,

(X, Y) = (6, 4)

Answer 2

Step-by-step explanation:

49x+51y=499 (1)

51x+49y= 501 (2)

Adding equations (1) and (2)

100x+100y=1000

X +Y =10 .......(3)

Subtracting equation (1) from

equation (2)

2Y- 2Y =2

X-Y =2 (4)

Adding equations 3 and 4

2x= 12

x= 12/2

X= 6

From equation (3)

6+Y =10

Y= 10 -6

Y= 4

Hence ,

(X,Y ) = (6,4)