Micah solves a linear equation and concludes that x = 0 is the solution. His work is shown below. (1 – 3x) = 4(– + 2) 4 lines of math. The first line is, StartFraction 5 Over 6 EndFraction left-parenthesis 1 minus 3 x right-parenthesis equals 4 left-parenthesis negative StartFraction 5 x Over EndFraction plus 2 right-parenthesis. The second line is, StartFraction 5 Over 6 EndFraction minus StartFraction 5x Over 2 EndFraction equals StartFraction 5x Over 2 EndFraction plus 8. The third line in plus StartFraction 5x Over 2 EndFraction and StartFraction 5x Over 2 EndFraction on both sides of the equal sign. The fourth line is 0 equals x. 0 = x Which statement is true about Micah's solution? Micah's solution is wrong. There are no values of x that make the statement true. Micah's solution is correct, and the value of x that makes the statement true is 0. Micah should have divided by StartFraction 5 Over 2 EndFraction. Micah should have subtracted StartFraction 5 Over 2 EndFraction.

We group the same variables to one side be it LHS or RHS, by adding, subtracting, multiplying, or dividing and then equate the variable with the constants to get the value.

The solution to the given problem

At step 2, 5/6-5/2x = -5/2x+8

We have to group x on both sides so we add 5/2x on both sides

Then we get 5/6 = 8, which shows that any value of x would not have any effect on the equation, hence Micah's solution is wrong

Final Answer: Micah's solution is wrong

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