Solve for y. Use the note pad to show your work, then type your equation in the box below. 3x+ 1 2y=−4 MUST show your work.
To solve for y in the equation 3x + 12y = -4, we need to isolate the variable y.
Step 1: Subtract 3x from both sides of the equation to move the term containing x to the right side:
3x + 12y - 3x = -4 - 3x.
This simplifies to:
12y = -4 - 3x.
Step 2: Divide both sides of the equation by 12 to isolate y:
(12y)/12 = (-4 - 3x)/12.
This simplifies to:
y = (-4 - 3x)/12.
Therefore, the equation after solving for y is:
y = (-4 - 3x)/12.
To solve for y in the equation 3x + 1/2y = -4, we need to isolate the variable y. Here's the step-by-step solution:
Step 1: Begin with the equation 3x + 1/2y = -4.
Step 2: To eliminate the fraction, we can multiply the entire equation by 2 to get rid of the denominator:
2 * (3x + 1/2y) = 2 * (-4)
Expanding, we get:
6x + 1y = -8
Step 3: Simplify the equation further:
6x + y = -8
Now, the equation is in a simpler form without any fractions.
Thus, the equation 3x + 1/2y = -4 simplifies to 6x + y = -8.
To solve for y in the equation 3x + 12y = -4, let's follow these steps:
Step 1: Start with the given equation: 3x + 12y = -4.
Step 2: First, isolate the term with y. To do this, we'll subtract 3x from both sides of the equation:
3x + 12y - 3x = -4 - 3x.
Simplify the equation:
12y = -3x - 4.
Step 3: Next, we need to isolate y by dividing both sides of the equation by 12:
(12y) / 12 = (-3x - 4) / 12.
Simplify further:
y = (-3/12)x - 4/12.
Step 4: Reduce the fraction:
y = (-1/4)x - 1/3.
Therefore, the solution for y in the equation 3x + 12y = -4 is y = (-1/4)x - 1/3.