Solve the system of equations: 3x-5y = 23 and 4x-5y = -7

3x-5y =
23................(1)

4x -5y = -7
.................(2)

We will use the elimination method to
solve.

We will subtract (1) from
(2).

==> x = -30

Now we
will substitute into (2) to find y.

==> 4x -5y =
-7

==> 4*-30 - 5y =
-7

==> -120 - 5y =
-7

==>5y = -120 + 7 =
-113

==> y=
-113/5

Then the answer is the pair ( -30,
-113/5)