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6x-5y= 0
4×-5y = -10​

1 Answer

2 votes

Answer:

the solution is (5, 6)

Explanation:

Please reserve " × " for representing multiplication, and " x " as a variable name.

Starting with the system

6x-5y= 0

4×-5y = -10​

multiply the 2nd equation by -1. This results in the system

6x - 5y = 0

-4x + 5y = 10

and combining these two equations results in

​ 6x - 5y = 0

-4x + 5y = 10

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

2x = 10, or x = 5.

Substituting 5 for x in the first equation, we get

6(5) - 5y = 0, or 5y = 30. Then y = 6, and the solution is (5, 6).

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