Question

How many solutions are there to the system of equations? 4x-5y=5 -0.08x+ 0.10y = 0.10

Answer 1

Answer:

No solutions.

Step-by-step explanation:

4x- 5y=5 be equation 1

-0.08x+0.10y=0.10 be equation 2

Multiplying equation 2 by 100 and dividing it by 2

we get

-4x+5y=5 be equation 3

By comparing equation 1 and equation 3 , they both are parallel lines and they don't have any solutions that is point of intersection

Answer 2

$\fontsize{18}{10}{\textup{\textbf{There is NO solution to the given system.}}}$

Step-by-step explanation:

The given system of equations is

$4x-5y=5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-0.08x+0.10y=0.10\\\\\Rightarrow -8x+10y=10\\\\\Rightarrow -4x+5y=5\\\\\Rightarrow 4x-5y=-5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Comparing equations (i) and (ii), we get

$5=-5,$which is impossible.

Thus, the given system of equations has NO solution.