check graphically whether the pair of equations 3x - 2y + 2 = 0 , 3/2x - y + 3 - Maths - Pair of Linear Equations in Two Variables

Question

check graphically whether the pair of equations 3x - 2y + 2 = 0
, 3/2x - y + 3 = 0 is consistent Also find the co-ordinatesof the
point , where the graph of the equations meet the y axis

Priyanka Kedia · Accepted Answer

$G r a p h o f p a i r o f l i n e a r e q u a t i o n 3 x - 2 y + 2 = 0 a n d \frac{3}{2} x - y + 3 = 0 i s a s,$

$S i n c e b o t h t h e l i n e s d o n o t int e r \sec t s e a c h o t h e r i e, t h e y a r e p a r a l l e l t o e a c h o t h e r T h u s, the g i v e n p a i r o f l i n e a r e q u a t i o n h a s n o s o l u t i o n s i e, i n c o n s i s t e n t F r o m g r a p h, i t i s c l e a r t h a t, t h e l i n e 3 x - 2 y + 2 = 0 m e e t s t h e y - a x i s a t y = 1 A n d, t h e l i n e \frac{3}{2} x - y + 3 = 0 m e e t s t h e y - a x i s a t y = 3$

check graphically whether the pair of equations 3x - 2y + 2 = 0 , 3/2x - y + 3 = 0 is consistent. Also find the co-ordinatesof the point , where the graph of the equations meet the y axis