Math, asked by karubhaisurela10, 2 days ago

answer the question please...​

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Answers

Answered by jenny7847
2

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

Answered by Anonymous
5

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.

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