Question

the solution of system of equation 3x - 5y =14 and 2x- 7y=2 is​

Answer 1

Step-by-step explanation:

$3x - 5y =14 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (1)$

$2x- 7y=2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (2)$

Here,

a1 = 3, b1 =-5, c1 = 14

a2 = 2, b2 = -7, c2 = 2

$\frac{3}{2} \not= \frac{ \not- 5}{ \not- 7} = \frac{14}{2}$

From above we can see that,

$\frac{a1}{a2} \neq \: \frac{b1}{b2} = \frac{c1}{c2}$

Hence the lines are consistent/intersecting and the system has unique solution