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x + y = 9 + 2x - 3y = 8

User Nitish
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1 Answer

4 votes

Answer:

(7,2)

Explanation:

x + y = 9 + 2x - 3y = 8 is really two equations, and you should show this by separating x + y = 9 from 2x - 3y = 8 through the use of a comma, or the word "and," or through writing only one equation per line.

Here you have the system of linear equations

x + y = 9

2x - 3y = 8.

Let's solve this system by elimination. Mult. the 1st eqn by 3, obtaining the system

3x + 3y = 27

2x - 3y = 8

-------------------

5x = 35, so that x = 7. Subbing 7 for x in x + y = 9, we get 7 + y = 9, indicating that y = 2.

Thus, the solution to this system of equations is (7,2).


User Guiwhatsthat
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