Amanda tells you that because a variable is in the denominator, the equation three over x plus one over three equals five over six becomes unsolvable. amanda explains, "there is a value for x that makes the denominator zero, and you can't divide by zero." demonstrate to amanda how the equation is still solvable and explain your reasoning.

The equation 3/x + 1/3 = 5/6  where x ≠ 0 has a solution x = 6

Step-by-step explanation:

∵3/x + 1/3 = 5/6

∴ 3/x = 5/6 - 1/3

∴ 3/x = 5/6 - 2/6 = 3/6 = 1/2

∴ 3/x = 1/2 ⇒ using cross multiplication

∴ x × 1 = 2 × 3

∴ x = 6

This equation has a solution under the condition x ≠ 0

The equation 3/x + 1/3 = 5/6  where x ≠ 0 has a solution x = 6

Step-by-step explanation:

∵3/x + 1/3 = 5/6

∴ 3/x = 5/6 - 1/3

∴ 3/x = 5/6 - 2/6 = 3/6 = 1/2

∴ 3/x = 1/2 ⇒ using cross multiplication

∴ x × 1 = 2 × 3

∴ x = 6

This equation has a solution under the condition x ≠ 0

ipuy6tygy

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