2x+x-y/6=2,x-2x+y/3=1 solve the equation
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Answered by
139
2x + (x-y)/6 =2
12x + x-y = 12
13x - y = 12 ......(i)
x - (2x+y)/3 =1
3x - (2x +y) =3
x-y=3 ........(ii)
now (i) - (ii)
13x-y-x+y=12-3
12x=9
x=(3/4)
y=x-3
y=(3/4)-3
y=(-9/4)
x=3/4
y=-9/4
Answered by
6
Answer:
After solving the equations, we get x = 3 / 4 and y = -9 / 4.
Step-by-step explanation:
2 x + ( x - y ) / 6 = 2
12 x + x - y = 12
13 x - y = 12 ......(i)
x - ( 2 x + y ) / 3 = 1
3 x - ( 2 x + y ) = 3
x - y = 3 ........(ii)
Now, subtracting (ii) from (i)
13 x - y - x + y = 12 - 3
12 x = 9
x = ( 3 / 4 )
y = x - 3
y = ( 3 / 4 ) - 3
y = ( -9 / 4 )
We get:
x = 3 / 4
y = - 9 / 4
Therefore, after solving the equations, we get x = 3 / 4 and y = -9 / 4.
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