Question

The pair of linear equations `(3x)/2 + (5y)/3 = 7` and 9x + 10y = 14, is ______.

विकल्प

• consistent

• inconsistent

• consistent with one solution

• consistent with many solutions

Answer 1

The pair of linear equations `(3x)/2 + (5y)/3 = 7` and 9x + 10y = 14, is inconsistent.

Explanation:

`(3x)/2 + (5y)/3 = 7`   ...(1)

9x + 10y = 14   ...(2)

∴ `(a_1)/(a_2) = (3/2)/9`

= `3/18`

= `1/6`

∴ `(b_1)/(b_2) = (5/3)/10`

= `5/30`

= `1/6`

`(a_1)/(a_2) = (b_1)/(b_2)`

`(c_1)/(c_2) = 7/14 = 1/2`

`(a_1)/(a_2) = (b_1)/(b_2) ≠ (c_1)/(c_2)`

The given equation is inconsistent.