answer the question please...
Answers
Step-by-step explanation:
just take all same variables one side like
17x + 23y= 40 and 23x + 17y = 80 and x+y=
now take all same variables one side and add up to lhs to rhs you will get the ans
Given:
- 17x + 23y = 40
- 23x + 17y = 80
To find:
- x + y
Solution:
We will use the elimination method to solve the given problem. Firstly we have to make the coefficient of x or y same in both the equations. We can make that possible by just multiplying first equation with 23 and second equation with 17.
After the step of multiplication, we get the following two equations out of the given equations.
⇒ 391x + 529y = 920
⇒ 391x + 289y = 1360
Now subtracting the first equation from the second equation will give us:
➝ 391x + 289y - (391x + 529y) = 1360 - 920
➝ 289y - 529y = 440
➝ -240y = 440
➝ y = 440/(-240)
➝ y = -11/6
Now Substitute it in first given equation:
⇒ 17x + 23y = 40
⇒ 17x + 23(-11/6) = 40
⇒ 17x -253/6 = 40
⇒ 17x = 40 + 253/6
⇒ 17x = (240 + 253)/6
⇒ 17x = 493/6
⇒ x = 493/(6 × 17)
⇒ x = 29/6
So the required answer is given by:
⇒ x + y
⇒ 29/6 + (-11/6)
⇒ 29/6 - 11/6
⇒ (29 - 11)/6
⇒ (18)/6
⇒ 3
So the required answer is 3.
Option [C] is correct.