10-1/3y=4+6x, solve for y
10 - (1/3)y = 4 + 6x.
10 - y/3 = 4 + 6x,
30 - y = 12 + 18x,
-y = 12 + 18x - 30,
-y = 18x - 18,
y = -18x + 18 = -18(x - 1).
Why did the math book go to the comedy club? Because it wanted to solve equations with a little bit of humor! Let's solve this equation together:
To start, let's isolate the term with "y" on one side of the equation:
10 - (1/3)y = 4 + 6x
Now, let's get rid of the constant term on the right side by subtracting 4 from both sides:
10 - 4 - (1/3)y = 4 - 4 + 6x
Simplifying, we have:
6 - (1/3)y = 6x
Next, we'll get rid of the coefficient of y by multiplying both sides of the equation by 3:
3(6 - (1/3)y) = 3(6x)
18 - y = 18x
Now, let's get "y" alone by subtracting 18 from both sides:
18 - y - 18 = 18x - 18
Simplifying further, we have:
-y = 18x - 18
Lastly, let's solve for "y" by multiplying both sides by -1:
y = -18x + 18
Ta-da! The solution to the equation is y = -18x + 18.
To solve the equation 10 - 1/3y = 4 + 6x for y, follow these steps:
Step 1: Start by isolating the y term on one side of the equation. To do this, we need to move the other terms to the other side.
First, subtract 4 from both sides:
10 - 4 - 1/3y = 6x
Simplifying:
6 - 1/3y = 6x
Step 2: To eliminate the fraction, we can multiply both sides of the equation by 3.
3 * (6 - 1/3y) = 3 * (6x)
Simplifying:
18 - y = 18x
Step 3: Move the -y term to the other side by adding y to both sides.
18 - y + y = 18x + y
Simplifying:
18 = 18x + y
Step 4: To solve for y, we can subtract 18x from both sides of the equation.
18 - 18x = 18x + y - 18x
Simplifying:
18 - 18x = y
Step 5: Rearrange the equation to have the y term on the left side, which gives us the solution for y.
y = 18 - 18x
Therefore, the solution for y is y = 18 - 18x.
To solve the equation 10 - 1/3y = 4 + 6x for y, we need to isolate y on one side of the equation. Here's how you can do it step by step:
1. Start by getting rid of the fraction 1/3y. We can do this by multiplying every term in the equation by 3 (the denominator of 1/3).
(3) * (10 - 1/3y) = (3) * (4 + 6x)
simplifying this gives us:
30 - y = 12 + 18x
2. Next, let's move the term with y to the other side. We can do this by subtracting y from both sides of the equation to isolate y.
30 - y - y = 12 + 18x - y
Simplifying further, we have:
30 - 2y = 12 + 18x
3. Now, let's get the y term alone by moving the constant term (12) to the other side of the equation. We can do this by subtracting 12 from both sides.
30 - 2y - 12 = 12 + 18x - 12
Simplifying gives us:
18 - 2y = 18x
4. To isolate y, divide both sides of the equation by -2.
(18 - 2y)/(-2) = (18x)/(-2)
Simplifying further, we get:
-9 + y = -9x
5. Finally, let's solve for y by moving the constant term (-9) to the other side of the equation. We can do this by adding 9 to both sides.
-9 + y + 9 = -9x + 9
Simplifying gives us the final answer:
y = -9x + 18
Therefore, the solution to the given equation is y = -9x + 18.