Solve : x-2y =7
2 x-6y=0
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( y , x ) = ( 7 , 21 )
Step-by-step explanation:
x - 2y = 7 .....( 1 )
2x - 6y = 0 .....( 2 )
Multiply equation 1 with 2
We get
2x - 4y = 14 .....( 3 )
Now
Subtract equation 2 from equation 3
2x - 4y = 14 .....( 3 )
2x - 6y = 0 .....( 2 )
- + -
2y = 14
Subtracting equation 2 from equation 3
We get
2y = 14
y = 14 / 2
y = 7
y = 7
Putting the value of y in equation 2
We get
2x - 6y = 0
2x - 6 ( 7 ) = 0
2x - 42 = 0
2x = 0 + 42
2x = 42
x = 42 / 2
x = 21
x = 21
( y , x ) = ( 7 , 21 )
___________________________
Let's check the value of y = 7 and x = 21 by taking it in equation 2
2x - 6y = 0
2 ( 21 ) - 6 ( 7 ) = 0
42 - 42 = 0
0 = 0
( y , x ) = ( 7 , 21 )
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