What would be the graphical representation of the pair of linear equations 3x - 5y = -9 and 6x - 10y = -8?

Asked by kushalnadiad | 5th Mar, 2020, 06:17: PM

Expert Answer:

 
3x - 5y = -9 → 3x - 5y + 9 = 0
 
Here, a1 = 3, b1 = -5 and c1 = 9
 
6x - 10y = -8
 
2(3x - 5y) = -8 → 3x - 5y + 4 = 0
 
Here, a2 = 3, b2 = -5 and c2 = 4
 
begin mathsize 16px style rightwards double arrow straight a subscript 1 over straight a subscript 2 equals space 3 over 3 equals 1 comma space straight b subscript 1 over straight b subscript 2 equals space fraction numerator negative 5 over denominator negative 5 end fraction equals 1 comma straight c subscript 1 over straight c subscript 2 equals space 9 over 4
rightwards double arrow straight a subscript 1 over straight a subscript 2 equals straight b subscript 1 over straight b subscript 2 not equal to straight c subscript 1 over straight c subscript 2
end style
Therefore, the pair of linear equations are parallel to each other.

Answered by Yasmeen Khan | 6th Mar, 2020, 10:01: AM