Choose a value of 'a' that satisfies the equation 6a = -30.a)5...
To find the value of a that satisfies the equation 6a = -30, we need to solve for a.
1. Subtracting 30 from both sides of the equation:
6a - 30 = -30 - 30
6a - 30 = -60
2. Adding 30 to both sides of the equation:
6a - 30 + 30 = -60 + 30
6a = -30
3. Dividing both sides of the equation by 6:
(6a)/6 = (-30)/6
a = -5
Hence, the value of a that satisfies the equation 6a = -30 is -5.
Explanation:
- The equation 6a = -30 represents a multiplication problem, where 6 is multiplied by a to give the result of -30.
- To isolate the variable a, we can perform inverse operations on both sides of the equation.
- By subtracting 30 from both sides, we eliminate the constant term on the right side of the equation.
- By adding 30 to both sides, we cancel out the -30 term on the left side of the equation.
- Dividing both sides by 6 allows us to solve for a, as dividing by 6 on the left side cancels out the coefficient of a.
- The solution is a = -5, which means that when -5 is multiplied by 6, the result is -30, satisfying the original equation.