solve for X and Y the equations are 2 X + 3 Y is equal to 9 and 4 x + 6 Y is equal to 15

Asked by vinitgandhi114 | 22nd Oct, 2019, 08:47: AM

Expert Answer:

Given pair of equations are
2x + 3y = 9 ... (i)   and
4x + 6y = 15 ... (ii)
Here a1=2, a2=4, b1=3, b2=6, c1=-9, c2=-15
a subscript 1 over a subscript 2 equals 2 over 4 equals 1 half comma space b subscript 1 over b subscript 2 equals 3 over 6 equals 1 half comma space c subscript 1 over c subscript 2 equals fraction numerator negative 9 over denominator negative 15 end fraction equals 3 over 5
therefore a subscript 1 over a subscript 2 equals b subscript 1 over b subscript 2 not equal to c subscript 1 over c subscript 2
T h u s comma space t h e space l i n e s space g i v e n space b y space e q u a t i o n s space left parenthesis i right parenthesis space a n d space left parenthesis i i right parenthesis space a r e space p a r a l l e l.
H e n c e comma space t h e y space h a v e space i n f i n i t e l y space m a n y space s o l u t i o n s.

Answered by Renu Varma | 22nd Oct, 2019, 09:48: AM