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Solve the system by substitution. If the system is inconsistent or has dependent equations, say so.
-X-5y = -6
y = 6x-5
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
• A. The system has a single solution. The solution set is O. (Type an ordered pair.)
B. There are infinitely many solutions and the equations are dependent. The solution set is {(x,y)} (Type an ordered pair.)
C. The system is inconsistent. The solution set is the empty set

Respuesta :

altavistard

Answer:

The (single) solution is (1, 1).

Step-by-step explanation:

The second equation tells us that y = 6x-5.  Substitute this 6x - 5 into the first equation, as follows:  -x - 5(6x - 5) = -6

Then -x - 30x + 25 = -6.  Combining like terms, we get -31x = -31, so that x = 1.  Subbing this result into the second equation, we find y:  y = 6(1) - 5 = 1.  The solution is (1, 1).