Is (–5, 0.5) a solution of this system?

x – 4y = –7,

0.2x + 2y = 0

Yes, the (–5, 0.5) is the solution set of the system.

Step-by-step explanation:

Given that:

x – 4y = –7   eq1

0.2x + 2y = 0 eq2

Now we have to check that, (–5, 0.5) is the solution of given system or not.

So from the given solution set:

x = -5

y = 0.5

Putting these values in eq1:

-5 - 4(0.5) = -7

By simplifying,

-5 - 2 = -7

-7 = -7  (satisfied)

Now putting the values of x and y in eq2:

0.2(-5) + 2(0.5)=0

By simplifying,

-1 +1 = 0

0 = 0 (satisfied)

i hope it will help you!