Information provided with us :
- x is assumed as a
- y is assumed as b
What we have to calculate :
Performing Calculations :
Here we have been given with two equations,
- x - y = 7 (First equation)
- 3x + 2y = 26 (Second equation)
From the first equation we would be getting a value of x and that value of x we would substitute in the second equation.
⇒ x - y = 7
⇒ x = 7 + y
Now, substituting it in the second equation :
⇒ 3x + 2y = 26
⇒ 3 (7 + y) + 2y = 26
⇒ 3 × (7 + y) + 2y = 26
⇒ 21 + 3y + 2y = 26
⇒ 21 + 5y = 26
⇒ 5y = 26 - 21
⇒ 5y = 5
⇒ y = 5 / 5
⇒ y = 1
★ Therefore, value of y is 1.
Now, substituting this value of y as 1 in the first equation.
⇒ x - y = 7
⇒ x - 1 = 7
⇒ x = 7 + 1
⇒ x = 8
★ Therefore, value of x is 8.
Value of a + b :-
⇒ x = a = 8
⇒ y = b = 1
Now,
⇒ a + b
⇒ 8 + 1
⇒ 9
Henceforth, value of a + b is 9.
