Question

If 15x +17y =85 and 17x +15y =75 find value of x+y

Answer 1

Answer:

x+y=5

Step-by-step explanation:

15x+17y=85

17x+15y=75

32x+32y=160

32(x+y)=160

x+y=160/32

x+y=5

Answer 2

ANSWER

x = 0 and y = 5

EXPLANATION

• EQUATION GIVEN

15x + 17y = 85 ....... (1)

17x + 15y = 75 ........ (2)

From equation (1) and (2)

In this type of equation where value of

x and you are interchange

then,

first we can add the equation (1) and (2)

second we can subtract the equation (1)

and (2)

therefore,

equation comes in simplest form and easily

evaluate.

=> we can add the equation (1) and (2)

15x + 17y = 85

17x + 15y = 75

we get,

32x + 32y = 160

x + y = 5 ..... (3)

=> we can subtract equation (1) and (2)

15x + 17y = 85

17x + 15y = 75

we get,

-2x + 2y = 10

-x + y = 5 .... (4)

From equation (3) and (4)

we get,

2y = 10

y = 5

put y = 5 in equation (3)

we get,

x + 5 = 5

x = 0

Therefore,

value of x = 0 and y = 5 = ANSWER