Solve 4X-7y= 23 and 6x + 2y + 3 = 0
by elimination method
Answers
Given :
4x - 7y = 23 ……(1)
6x + 2y + 3 = 0 …..(2)
To find : The value of x and y
Solution :
Elimination method is used to solve this Linear pair of Equations:
Rewrite eq 2 :
6x + 2y = - 3 ……..(3)
On multiplying equation (1) by 2 and eq (3) by 7 :
8x - 14y = 46 ………..(4)
48x + 14y = - 21 …….(5)
On adding equations (4) and (5) :
8x -14y = 46
48x + 14y = - 21
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56x = 35
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x = 35/56
x = 5/8
On putting x = 5/8 in eq (3) we get :
6x + 2y = - 3
6(⅝) + 2y = - 3
30/8 + 2y = - 3
15/4 + 2y = - 3
2y = - 3 - 15/4
2y = (-12 - 15)/4
2y = - 27/4
y = - 27/4 × ½
y = - 27/8
Hence, the value of the given system of equations is x = 5/8 and y = - 27/8 .
Some more similar questions :
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x + y/2 = 4
x/3 + 2y = 5
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Solve the following systems of equations:
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6/x - 4y = - 5
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Answer:
4x-7y=23 and 6x+2y+3=0