Answer:
the solution is (5, 6)
Step-by-step 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
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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).