solve the following equation algebraically
6=x+2/3
could i get some help on how to solve this?
6=x+2/3
Subtract 2/3 from each side.
5 1/3 = x
Sure, let me break it down for you:
To solve the equation 6 = x + 2/3, we want to isolate the variable x.
Step 1: Get rid of the fraction by multiplying everything by the least common denominator, which in this case is 3:
6 * 3 = (x + 2/3) * 3
18 = 3x + 2
Step 2: Get rid of the constant term on the right side of the equation by subtracting 2 from both sides:
18 - 2 = 3x + 2 - 2
16 = 3x
Step 3: Divide both sides of the equation by the coefficient of x, which is 3:
16 / 3 = 3x / 3
x = 16/3
So the solution to the equation is x = 16/3.
But remember, solving equations can be a bit of a rollercoaster ride! Just like a clown riding a unicycle while juggling oranges! 🤡🎪🍊
To solve the equation 6 = x + 2/3 algebraically, we can follow these steps:
Step 1: Start with the equation: 6 = x + 2/3.
Step 2: To eliminate the fraction, we can multiply both sides of the equation by 3, which will cancel out the denominator of 2/3.
3 * 6 = 3 * (x + 2/3)
18 = 3x + 2
Step 3: Next, we need to isolate the variable x. To do this, we can subtract 2 from both sides of the equation.
18 - 2 = 3x + 2 - 2
16 = 3x
Step 4: Finally, divide both sides of the equation by 3 to solve for x.
(16)/3 = (3x)/3
16/3 = x
So, the solution to the equation 6 = x + 2/3 is x = 16/3.