Use inverse operations to solve each equation.
1. 1.6+y=-7.3
2. -2/3n=12
#1
1.6+y-1.6 = -7.3-1.6
y = -8.9
#2
(-2/3)n(-3/2) = 12(-3/2)
n = -18
To solve each equation using inverse operations, we need to isolate the variable on one side of the equation.
1. To solve 1.6 + y = -7.3:
- The variable we want to solve for is 'y'.
- We can start by subtracting 1.6 from both sides to eliminate it from the left side of the equation:
1.6 + y - 1.6 = -7.3 - 1.6
Simplifying, we have:
y = -8.9
Therefore, the solution is y = -8.9.
2. To solve -2/3n = 12:
- The variable we want to solve for is 'n'.
- Multiplying both sides of the equation by (-3/2) cancels out the fraction -2/3 and isolates 'n':
(-2/3n) * (-3/2) = 12 * (-3/2)
Simplifying, we have:
n = -18
Therefore, the solution is n = -18.