Question

What are the solutions to the equation x-7/x=6?

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O x= -7 and x = 1
O x=-6 and x = -1
O x=-1 and x = 7
O x= 1 and x = 6

Answer 1

9514 1404 393

Answer:

(c) x = -1, and x = 7

Explanation:

Multiplying the equation by x gives ...

x^2 -7 = 6x

x^2 -6x -7 = 0 . . . . . standard form

(x -7)(x +1) = 0 . . . . . factored form

The solutions are the values of x that make the factors zero:

x = -1, x = 7