one equation of a pair of dependent linear equation is -5 x + 7 Y = 2, the second equation can be
Answers
The second equation can be -5ax + 7ay = 2a , where a is any real number.
Dependent equations represent the same line in two different forms.
They have infinite number of solutions.
Given,
- -5x + 7y = 2
This line can also be represented as:
- -10x + 14y = 4
- -5x/2 + 7y/2 = 1
Both the equations, even though they look different, represents the same line.
Hence they can be called as dependent equations.
Therefore dependent equations of a certain line can be written as the different multiples of the same equation.
Given : One equation of a pair of dependent linear equations is −5x + 7y = 2 .
To Find : The second equation can be _____________
a) 10x+14y +4=0
b) −10x−14y+4=0
c) −10x+14y+4=0
d) 10x−14y= −4
Solution:
a pair of dependent linear equations has an infinite number of solutions
Hence they represent same line
Another Equation can be
k ( −5x + 7y ) = 2k where k is non zero real number.
One equation of a pair of dependent linear equations is −5x + 7y = 2
multiply by - 2
=> 10x - 14y = - 4
option D is correct
d) 10x−14y= −4
10/ - 5 = -14/7 = -4/2 = - 2
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