If is a solution to the system of equations above, what is the value of ?
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EXPLANATION.
⇒ 10x - 16y = 12.
⇒ 5x - 3y = 4.
As we know that,
From equation (1) & (2), we get.
Multiply equation (1) by 5.
Multiply equation (2) by 10.
We get,
⇒ 10x - 16y = 12 --------(1) x 5.
⇒ 5x - 3y = 4 ------(2) x 10.
⇒ 50x - 80y = 60.
⇒ 50x - 30y = 40.
- + -
We get,
⇒ -50y = 20.
⇒ y = -2/5.
Put the value of y = -2/5 in equation, we get.
⇒ 5x - 3(-2/5) = 4.
⇒ 5x + 6/5 = 4.
⇒ 5x = 4 - 6/5.
⇒ 5x = 20 - 6/5.
⇒ 5x = 14/5.
⇒ x = 14/25.
To find : x - y.
⇒ 14/25 - (-2/5).
⇒ 14/25 + 2/5.
⇒ 14 + 10/25.
⇒ 24/25.
Value of : x - y = 24/25.
Saby123:
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Answered by
214
Answer :-
Multiplying equation ii by 2 :-
Subtracting equation iii from i :-
Substituting the value in equation i :-
Finding the value of ( x - y )
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