Question

Please help what is the solution to the system of equations?

Answer 1

Answer:

(5, 12)

Step-by-step explanation:

Start with:

3x + 2y = 39

5x -    y  = 13

We'll use elimination by addition/subtraction here.  Multiply the 2nd equation by 2 to obtain -2y, which cancels out the +2y in the first equation:

3x + 2y = 39

10x  -2y  = 26

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13x          = 65

Dividing both sides by 13, we get x = 5.

Subbing 5 for x in the 2nd equation, we get 5(5) - y = 13.

Then 25 - y = 13, and      12 - y = 0.  Finally, y = 12.

The solution is (5, 12).