3x-2y=8 system of elimination of 2x-2y=5 step by step

(3, 1/2)

Step-by-step explanation:

Note that both equations have the term -2y.  Let's eliminate y and find x first.

Rewriting 3x-2y=8 and 2x-2y=5 vertically:

3x-2y=8

2x-2y=5  Multiply this equation by -1, so that we have -2y and + 2y:

 3x-2y=8

-2x+2y= -5

   x      =   3

Now subst. 3 for x in the first equation:  3(3) - 2y = 8, or

9 - 2y = 8

We need to isolate -2y.  To do this, subtract 8 from both sides:

1 - 2y = 0, or 2y = 1.  Dividing both sides by 2, we get

y = 1/2

Thus, the solution is (3, 1/2).

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step-by-step explanation: