Name the property that is used in the equation. Then solve for n.
7y+y=7y+ny
Yabba dabba you too it!
The property used in the equation is the distributive property. To solve for n, let's start by simplifying both sides of the equation by combining like terms:
7y + y = 7y + ny
Combining the y terms on the left side, we get:
8y = 7y + ny
Now, let's isolate the term with "n" by subtracting 7y from both sides:
8y - 7y = 7y - 7y + ny
This simplifies to:
y = ny
Since both sides of the equation have a common factor of y, we can divide both sides by y to solve for n:
y/y = ny/y
This further simplifies to:
1 = n
Therefore, the solution for n is 1.
The property being used in the equation is the Associative Property of Addition. According to this property, when adding three or more numbers, changing the grouping of the numbers being added doesn't affect the sum.
To solve for n in the equation 7y + y = 7y + ny, you can start by simplifying the equation using the Distributive Property. The Distributive Property states that multiplying a number by a sum is the same as multiplying the number by each addend and then adding the products.
First, distribute the n to the terms inside the parentheses:
7y + y = 7y + ny
8y = 7y + ny
Next, combine like terms by moving all the terms with n to one side of the equation:
-7y + ny = 0
Factor out the common factor of y:
y(n - 7) = 0
Now, you can solve for n by considering two cases:
Case 1: y = 0
If y equals zero, then the equation becomes:
0(n - 7) = 0
This equation is true for any value of n since multiplying by zero always results in zero. Therefore, n can be any real number in this case.
Case 2: n - 7 = 0
If n - 7 equals zero, then the equation becomes:
y(0) = 0
This equation is also true for any value of y since multiplying by zero always results in zero. Therefore, n can be any real number in this case as well.
In conclusion, the solution for n in the equation 7y + y = 7y + ny is any real number.
equals subtracted from equals are equal.
equals divided by equals are equal.
7y+y = 7y+ny
y = ny
1 = n
(if y≠0)