Question

3x + 7y = 61 and 11x + y = 51, then (y - x) =​

Answer 1

Answer:

Step-by-step explanation:

Refer to this attachment...

Answer 2

Value of (y - x) is 3

Given : The given equations are, 3x + 7y = 61 and 11x + y = 51

To find : The value of (y-x)

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the value of the given algebraic expression)

Equation 1 :

3x + 7y = 61

Equation 2 :

11x + y = 51

Now, multiplying Equation 2 with 7

7 × (11x + y) = 7 × 51

77x + 7y = 357 ....(Equation 3)

Now, subtracting Equation 3 from Equation 1 :

ㅤ 3x + 7y = 61

(-) 77x + 7y = 357

ㅤ - - -

______________

ㅤㅤ-74x = -296

ㅤㅤ 74x = 296

ㅤㅤ x = 296/74

ㅤㅤ x = 4

Now, putting the value of x in Equation 1 :

3 × (4) + 7y = 61

12 + 7y = 61

7y = 61 - 12

7y = 49

y = 49/7

y = 7

So,

= (y-x)

= (7-4)

= 3

(This will be considered as the final result.)

Hence, the value of (y-x) is 3