x+y=5 and 2x-3y=4
solve this by elimination method
Answers
Answer:
19/5
Step-by-step explanation:
x + y = 5 ( equation 1 )
2x - 3y = 4 ( equation 2 )
Now,
multiplying (eq.1) by 2 and subtracting (eq.2) from ( eq.1 )
(2x + 2y = 10) - (2x - 3y = 4 )
=> 2x + 2y - 2x + 3y = 6
=> 5y = 6
=> y = 6/5
Putting the value of y in ( eq.1 )
=> x+ y = 5
=> x + 6/5 = 5
=> x = 5 - 6/5
=> x = 19/5
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Question :- x+y=5 , 2x-3y=4 solve by elimination method .
Solution :-
→ x + y = 5 ----------- Eqn.(1)
→ 2x - 3y = 4 ----------- Eqn.(2)
Multiply Eqn.(1) by 2 and then, subtracting Eqn.(2) from the result we get,
→ 2(x + y) - (2x - 3y) = 2 * 5 - 4
→ 2x + 2y - 2x + 3y = 10 - 4
→ 2x - 2x + 2y + 3y = 6
→ 5y = 6
→ y = (6/5) .
putting value of y in Eqn.(1) now,
→ x + (6/5) = 5
→ x = 5 - (6/5)
→ x = (25 - 6)/5
→ x = (19/5) .
Hence, x is equal to (6/5) and y is equal to (19/5).
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