Solve X/2+2y/3=-1 and x-y/3=3 By elimination and substitution method
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By elimination method
x/2 + 2y /3 = - 1 ………..(1)
x – y/3 = 3 ………..(2)
Multiplying equation (1) by 2, we obtain
x + 4y/3 = - 2 ………(3)
x – y/3 = 3 ………..(2)
Subtracting equation (2) from equation (3), we obtain
5y /3 = -5
Divide by 5 and multiply by 3 we get
Y = -15/5
Y = - 3
Substituting in equation (2), we obtain
x – y/3 = 3 ………..(2)
x – (-3)/3 = 3
x + 1 = 3
x = 2
Hence our answer is x = 2 and y = −3
By substitution method
x – y/3 = 3 ………..(2)
Add y/3 both side we get
x= 3 + y/3 ……(4)
Plug this value in equation (1) we get
x/2 + 2y /3 = - 1 ………..(1)
(3+ y/3)/2 + 2y /3 = -1
3/2 + y /6 + 2y/3 = - 1
Multiply by 6 we get
9 + y + 4y = - 6
5y = -15
Y = - 3
Hence our answer is x = 2 and y = −3
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