3x + 4y = 12
Find two solutions for the given equation.
Answers
Answered by
110
1) ..
put y=0 in given equation
3x+0=12
x=4
2)....
now put x=2 in equation
3x2+4y=12
4y=12-6
4y=6
y=3/2
put y=0 in given equation
3x+0=12
x=4
2)....
now put x=2 in equation
3x2+4y=12
4y=12-6
4y=6
y=3/2
Answered by
72
Given Linear equation in two variables
3x + 4y = 12 ----( 1 )
i ) Substitute x = 0 , in equation ( 1 ) ,
3 × 0 + 4y = 12
=> 4y = 12
=> y = 12/4
y = 3
Therefore ,
( x , y ) = ( 0 , 3 )
ii ) Substitute y = 0 in equation ( 1 ) ,
3x + 4 × 0 = 12
=> 3x = 12
=> x = 12/3
x = 4
Therefore ,
( x , y ) = ( 4 , 0 )
Required two solutions are ( 0 , 3 ) ,
( 4 , 0 )
••••
3x + 4y = 12 ----( 1 )
i ) Substitute x = 0 , in equation ( 1 ) ,
3 × 0 + 4y = 12
=> 4y = 12
=> y = 12/4
y = 3
Therefore ,
( x , y ) = ( 0 , 3 )
ii ) Substitute y = 0 in equation ( 1 ) ,
3x + 4 × 0 = 12
=> 3x = 12
=> x = 12/3
x = 4
Therefore ,
( x , y ) = ( 4 , 0 )
Required two solutions are ( 0 , 3 ) ,
( 4 , 0 )
••••
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