Using the properties of equality, solve the equation 1/4 (8-16g) +8=g
The solution to the equation is g=___
The solution to the equation is g = 2.
To solve the equation, we can start by distributing the 1/4 to the terms in the parentheses:
(1/4)(8) - (1/4)(16g) + 8 = g
2 - 4g + 8 = g
Next, we can combine like terms:
10 - 4g = g
To isolate g, we can move the terms with g to one side of the equation and the constant terms to the other side:
10 = g + 4g
10 = 5g
Finally, we can solve for g by dividing both sides of the equation by 5:
10/5 = (g + 4g)/5
2 = g
Therefore, the solution to the equation is g = 2.
To solve the equation 1/4 (8-16g) + 8 = g, we need to follow these steps:
Step 1: Distribute the 1/4 to the terms in the parentheses:
1/4 * 8 - 1/4 * 16g + 8 = g
Step 2: Simplify the equation:
2 - 4g + 8 = g
Step 3: Combine like terms:
10 - 4g = g
Step 4: Move all the terms with g to one side of the equation by adding 4g to both sides:
10 = 5g
Step 5: Divide both sides of the equation by 5 to isolate g:
10/5 = 5g/5
2 = g
Therefore, the solution to the equation is g = 2.
To solve the equation 1/4 (8 - 16g) + 8 = g, we will use the properties of equality to isolate the variable g.
Step 1: Simplify both sides of the equation
To start, let's distribute 1/4 to the expression inside the parentheses:
(1/4) * 8 - (1/4) * 16g + 8 = g
2 - 4g + 8 = g
Simplifying further:
10 - 4g = g
Step 2: Move variables to one side and constants to the other
To isolate the variable g, we'll move all terms containing g to the left side and constants to the right side:
-4g - g = 10 - 8
Combining like terms:
-5g = 2
Step 3: Solve for g
To find the value of g, divide both sides of the equation by -5:
g = 2 / -5
Simplifying the fraction:
g = -2/5
Therefore, the solution to the equation is g = -2/5.