Question

How do I combine these using inverse operations to find what x =?

Answer 1

Let the equations be f(x) and g(x) respectively.
Now, equation f(x) has an equation solved for y.

Thus, we know a value for y.
We can then substitute that into the second equation.

$f(x) = y = 2x - 3$
$g(x): 2x - 2y = 2$

Substitute f(x) for wherever y is in g(x):
$g(x): 2x - 2(2x - 3) = 2$
$2x - 4x + 6 = 2$
$-2x = -4; x = 2$

Now, substitute x = 2 into f(x) to find the value for y.
$y = 2(2) - 3$
$y = 4 - 3 = 1$

$\therefore x = 2, y = 1$