Answer:
The equations 15 - n = 7, 4n = 32, and 64 : n = 8 have 8 as a solution.
Explanation:
Each equation will have work shown below :
15 - n = 7
For this equation, we would need to isolate the variables by doing the inverse operation to both sides of the equation. Here in this equation, the operation is to subtract and the inverse operation of that is addition. Since the original operation is subtraction, we need to add it by a negative sign to each side. In order to isolate the variables, we have to add -7 to both sides.
15 - n = 7
+ -7 + -7
8 = n
The right side has a sum of 0 so it doesn't require any value to the equation. As you can see in the equation, n equals to 8.
4n = 32
For this equation, we would need to isolate the variables by doing the inverse operation to both sides of the equation. Here in this equation, the operation is to multiply and the inverse operation of that is division. In order to isolate the variables, we have to divide 8 to both sides.
4n = 32
/4 /4
n = 8
The left side has a quotient of 0 so it doesn't require any value to the equation. As you can see in the equation, n equals to 8.
This is a ratio which is basically just the operation of division. For this equation, we would need to isolate the variables by doing the inverse operation to both sides of the equation. Here in this equation, the operation is to divide and the inverse operation of that is multiplication. Since the original operation is division, we need to multiply it by the reciprocal to each side. In order to isolate the variables, we have to multiply 1/8 to both sides.
64 : n = 8
* 1/8 * 1/8
8 = n
The right side has a product of 0 so it doesn't require any value to the equation. As you can see in the equation, n equals to 8.