Mary was given an equation: 6x+22=30.
She subtracted 22 from 22 and got 6x=30.
What was the mistake mary made?
She didn't subtract 22 from 30.
The mistake Mary made is when she subtracted 22 from both sides of the equation. Let me explain the correct steps to solve the equation:
The given equation is: 6x + 22 = 30.
To isolate the variable x, we need to get rid of the constant term (22) on the left side of the equation. We do this by performing the opposite operation, which is subtracting 22 from both sides of the equation.
6x + 22 - 22 = 30 - 22
Simplifying gives: 6x = 8.
Now, to solve for x, we divide both sides of the equation by the coefficient of x, which is 6.
(6x) / 6 = 8 / 6
Simplifying further gives: x = 4/3 or x = 1.33 (rounded to two decimal places).
Therefore, the correct solution for the equation 6x + 22 = 30 is x = 4/3 or x = 1.33.