You can
put this solution on YOUR website!To make it a bit easier, I'd rewrite it so every line is in the same form like:
Eq1:

Eq2:

Eq3:

Now in this form we can see that we can use combination and add Eq1 & Eq2 to write an equation only in terms of E&F:

Now that we have two equations of only two variables (this one & Eq3) we can solve for e & f. Adding this new equation to Eq 3 we get:

Putting this back into Eq 3 we get:

Now we know e & f, so we can use any equation (in this example Eq 1.) to find d:

Double checks:
Eq1:

=

check.
Eq2:

=

check.
Eq3:

=

check.