folklorahhe

2021-11-15

To calculate: The solution for the system of equations $0.2x=0.35y-2.5$
and $0.16x+0.5y=5.8$ , if the system does not have one unique solution,
state whether the system is inconsistent, or whether the equations are
dependent.

Marlene Broomfield

Beginner2021-11-16Added 15 answers

Calculation:

Consider the provided system of equations:

Convert the equations into standard form

And,

Now, multiply by —2 in equation (1):

Now, add equation (2) and (3)

Substitute 10 for yin equation (1) and solve for x:

So, the ordered pair obtained is (5,10).

Check:

Put

The results true.

Put

The result is true.

Therefore, the solution for the system of equations