Question

Is x = 7 the solution for 3/7x =-3? If not, find the correct solution.

Answer 1

x = 7 is not a solution

Explanation:

given the equation

`(3)/(7)` x = - 3

To determine if x = 7 is a solution, substitute x = 7 into the left side of the equation and if equal to the right side then it is a solution.

`(3)/(7)` × 7 = 3 ≠ - 3

Thus x = 7 is not a solution to the equation.

solve the equation

`(3)/(7)` x = - 3 ( multiply both sides by 7 to clear the fraction )

7 ×
`(3)/(7)` x = 7 × - 3 , that is

3x = - 21 ( divide both sides by 3 )

`(3)/(3)` x =
`(-21)/(3)` , then

x = - 7

The correct solution is x = - 7