Question 177743
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*[tex \Large \frac {-3}{x} = \frac {x}{-3}]


Step 1:  Crossmultiply.  That is, multiply the numerator on the left by the denominator on the right.  Set that product equal to the product of the denominator on the left and the numerator on the right.


*[tex \Large x^2 = (-3)(-3) = 9]


Step 2:  Take the square root of both sides:


*[tex \Large sqrt{x^2} = \pm sqrt{9}]


*[tex \Large x = \pm 3]


Check your answer:


For *[tex \Large x = 3], *[tex \Large \frac {-3}{3} = \frac {3}{-3}], True statement: answer checks.


For *[tex \Large x = -3], *[tex \Large \frac {-3}{-3} = \frac {-3}{-3}], True statement: answer checks.

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