Given the equations:

8x+9y = -1...........(1)

x = 6 - 2y ...............(2)

we need solve for x and y.

We will use the substitution method to solve.

We will substitute (2) into (1).

==> 8x+9y = -1

==> 8(6-2y) + 9y = -1

==> 48 - 16y + 9y = -1

==> -7y = -49

Now we will divide by -7

==> y= -49/-7 = 7

==> y= 7

==> x = 6-2y = 6-2(7) = 6 -14 = -8

Then the solution for the system is:

**x = -8 and y= 7**

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