6e-5f=6; 5e-3f=19

subtract and you get

e = 2f-13

Now substitute that into either equation to get f. Then you can evaluate e.

Jummy

To solve these equations, we need to isolate the variables. Let's start by solving the first equation:

6e - 5f = 6

To isolate the variable 'f', we can move the term with 'e' to the other side of the equation by subtracting 6e from both sides:

-5f = 6 - 6e

Now, we can solve for 'f' by dividing both sides of the equation by -5:

f = (6 - 6e) / -5

Similarly, let's solve the second equation:

5e - 3f = 19

Again, we want to isolate the variable 'f', so let's move the term with 'e' to the other side of the equation:

-3f = 19 - 5e

Now, we can solve for 'f' by dividing both sides of the equation by -3:

f = (19 - 5e) / -3

So, the solutions for these equations are:

f = (6 - 6e) / -5,
f = (19 - 5e) / -3.

You can substitute specific values for 'e' to find the corresponding values of 'f'.