Solve StartFraction y Over 11 EndFraction
minus2equals1. Use pencil and paper. Think of a situation in your own life that could be represented by a two-step equation. Write and solve the two-step equation.
To solve the equation StartFraction y Over 11 EndFraction minus 2 = 1, we first need to isolate the variable y by undoing the subtraction and division operations that are being performed on it.
1. Add 2 to both sides of the equation:
StartFraction y Over 11 EndFraction - 2 + 2 = 1 + 2
StartFraction y Over 11 EndFraction = 3
2. Multiply both sides by 11 to solve for y:
11 * StartFraction y Over 11 EndFraction = 3 * 11
y = 33
Therefore, the solution to the equation is y = 33.
A situation in my own life that could be represented by a two-step equation is managing my budget. For example, let's say I have a monthly income of $2000 and I want to save at least $500 each month. I can represent this situation with the equation:
2000 - x = 500
To solve for x (the amount I will spend each month), I can follow the steps:
1. Subtract 500 from both sides:
2000 - x - 500 = 500 - 500
1500 - x = 500
2. Subtract 1500 from both sides:
1500 - x - 1500 = 500 - 1500
-x = -1000
3. Multiply both sides by -1:
-1 * (-x) = -1 * -1000
x = 1000
Therefore, in order to save $500 each month, I will need to spend $1000 per month.