Solve 2x-y+5 = 0 and x + 2y = 4 by Elimination method
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Given:
2x-y+5 = 0 and x + 2y = 4
To find:
A solution of the given equation by the elimination method
Solution:
We have given the equations as:
2x-y+5 = 0 -------------(I)
x + 2y - 4 = 0 ----------------(II)
In the elimination method, we just make the coefficient of any of the variables equal to eliminate it.
Multiply the equation (I) with 2 we get:
4x-2y+10 = 0
then add it to the equation (II)
4x-2y+10 = 0
x + 2y - 4 = 0
5x + 0 +6 = 0
- 5x = -6
- x = -6/5
put this value in any of the equation to get the value of y
x + 2y - 4 = 0
- -6/5 +2y = 4
- 2y = 4+6/5
- 2y = 26/5
- y = 13/5
Henve the solution of 2x-y+5 = 0 and x + 2y = 4 is (-6/5, 13/5)
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