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n200080 [17]
3 years ago
10

What is the value of x in the solution of the system of equations 3x + 2y = 12 and 5x – 2y = 42

Mathematics
1 answer:
uysha [10]3 years ago
8 0

Answer:

x = 27/4

Step-by-step explanation:

3x + 2y = 12 and 5x – 2y = 42

Add the two equations together to eliminate y

3x + 2y = 12

5x – 2y = 42

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

8x            = 54

Divide each side by 8

8x /8 = 54/8

x = 27/4

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Answer:

The solution is (-3, -2).

Step-by-step explanation:

Please note that if you simply add these 2 equations together, 9x - 9x = 0, and you are then left with -5y = 10.  Thus, y = -2.  Subbing -2 for y in the first equation, we get 9x - 8(-2) = -11, or 9x + 16 = -11.

Subtracting 16 from both sides, we get 9x = -27, so that x = -3.

The solution is (-3, -2).


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