Question

How many solutions does the linear equation 3x - 5y = 15 have?​

• A. Unique
• B. Two
• C. Infinite
• D. No solution

Answer 1

The correct option is C Infinite

Given that, the linear equation is $3x-5y=15$
or $x=\frac{15+5y}{3}$

when $y=0,x=\frac{25}{3}=5$
when $y=3,x=\frac{30}{3}=10$
when $y=-3,x=\frac{0}{3}=0$

Similarly for every value of y we can get value of x or for every value of x we can get value of y.

$\therefore$ We can get infinite points.