Solve the following pair
pair of linear
equation by elimination method
2x + y = 5
x + 2y = -2
Answers
Answered by
165
EXPLANATION.
⇒ 2x + y = 5. - - - - - (1).
⇒ x + 2y = -2. - - - - - (2).
As we know that,
From equation (1) & (2), we get.
Multiply equation (1) by 1.
Multiply equation (2) by 2.
⇒ 2x + y = 5. - - - - - (1) x 1.
⇒ x + 2y = -2. - - - - - (2) x 2.
2x + y = 5. - - - - - (1).
2x + 4y = -4. - - - - - (2).
- - +
We get,
⇒ - 3y = 9.
⇒ y = -3.
Put the value of y = - 3 in equation (1), we get.
⇒ 2x + y = 5.
⇒ 2x + (-3) = 5.
⇒ 2x - 3 = 5.
⇒ 2x = 5 + 3.
⇒ 2x = 8.
⇒ x = 4.
Value of x = 4 & y = -3.
Answered by
98
Answer:
Given :-
To Find :-
Value of x and y
Solution :-
Multiply equation 2 by 2
2(x + 2y) = 2(-2)
2x + 4y = -4
Subtract them
(2x + y) - (2x + 4y) = 5 - (-4)
2x + y - 2x - 4y = 5 + 4
y - 4y = 9
-3y = 9
y = 9/-3
y = -3
Now
By putting value of y in 2
x + 2y = -2
x + 2(-3) = -2
x + (-6) = -2
x - 6 = -2
x = 6 - 2
x = 4
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