Question

if the graph of the equations 2x + ay = 10 and 3x + 6y = 12 are parallel then find a

Answer 1

Answer:

If both equations are parallel there coefficient should be in same ratio

$\frac{2}{3} = \frac{a}{6} = \frac{10}{12} \\ since \\ \frac{2}{3} \neq \frac{10}{12} \\ so \: \: \: a \in \phi\\ or \: no \: \: value \: \: exists$

Answer 2

Answer: a =4

Step-by-step explanation:

Equation of straight line is --

Y = mX + C

here m is called Slope.

If two lines are parallel, then there slopes should be equal.

Now, for line 2X + aY =10

=> aY = -2X +10

=> Y = -(2/a)X + 10/a

here slope is (-2/a).

Now, For line 3X +6Y =12

=> 6Y = -3X +12

=> Y = (-3/6) +12/6.

here slope is -3/6 = -1/2

For parallel lines.. slopes should be equal..

therefore, -2/a = -1/2

=> a = 4.