Question

Solve the following pair of equations 49x+51y=499

Answer 1

Answer:

Solve equation [2] for the variable y

[2] 49y = -51x + 501

[2] y = -51x/49 + 501/49

// Plug this in for variable y in equation [1]

[1] 49x + 51•(-51x/49+501/49) = 499

[1] -200x/49 = -1100/49

[1] -200x = -1100

// Solve equation [1] for the variable x

[1] 200x = 1100

[1] x = 11/2

// By now we know this much :

x = 11/2

y = -51x/49+501/49

// Use the x value to solve for y

y = -(51/49)(11/2)+501/49 = 9/2

Solution :

{x,y} = {11/2,9/2}

Answer 2

Step-by-step explanation:

51x+49y=150...(1)

49x+51y=50...(2)

Adding eq (1) & (2)

100x+100y=200

x+y=2...(3)

Subtracting eq

n

(2) from (1)

2x−2y=100

x−y=50...(4)

Adding eq

n

(3) & (4)

x+y=2

x−y=50

_______________

2x=52

x=26

x+y=2

26+y=2

y=−24

finding x−y & x+y

i.e from (3) & (4)

x−y:x+y⇒50:2

⇒25:1