Question

The pair of equations 2x+3y=5 and 4x+6y=15 has *​

Answer 1

Answer:

The pair of equation has no solution.

The ratio of the coefficient of x is equal to the ratio of coefficient of y but not equal to the ratio of the constant terms. It means the pair of equation are inconsistent and they representing parallel lines with no solution.

Answer 2

Step-by-step explanation:

. .. ....

Here,

a1 = 2, b1 = 3, c1 = 5

a2 = 4, b2 = 6, c2 = 15

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

$\frac{2}{4} = \frac{3}{6} = \frac{5}{15}$

$\frac{1}{2} = \frac{1}{2} \not= \: \frac{1}{3}$

From the above, we can see that

$\frac{a1}{a2} = \frac{b1}{b2} \not = \frac{c1}{c2}$

Hence the pair of equations has no solution and the lines are inconsistent.