To find the solution to the equation 3y-2x+3=0, we need to isolate the variable y.
Step 1: Start by moving the term with the variable x to the other side of the equation. Since we have -2x, we can add 2x to both sides of the equation. This will cancel out the -2x on the left side. 3y + 3 = 2x
Step 2: Next, move the constant term (3) to the other side of the equation. Since we have +3, we can subtract 3 from both sides of the equation. This will cancel out the +3 on the left side. 3y = 2x - 3 Step 3: To isolate y, divide both sides of the equation by 3. This will give us the value of y. y = (2x - 3)/3
So the solution to the equation 3y-2x+3=0 is y = (2x - 3)/3. This means that for any given value of x, we can plug it into this equation to find the corresponding value of y that satisfies the equation.
Hope this helps.
Answer: So, the equation 3y - 2x + 3 = 0 is equivalent to y - (4/3)x = -1 - (2/3)x.
Step-by-step explanation:
To solve the equation 3y - 2x + 3 = 0, you can use the method of isolating the variable y. Here are the steps to solve it:
Step 1: Move the constant term to the other side of the equation by subtracting 3 from both sides:
3y - 2x + 3 - 3 = 0 - 3
This simplifies to:
3y - 2x = -3
Step 2: Move the term with the variable x to the other side of the equation by subtracting 2x from both sides:
3y - 2x - 2x = -3 - 2x
Simplifying this gives:
3y - 4x = -3 - 2x
Step 3: Now, we have isolated the variable y. To solve for y, divide both sides of the equation by 3:
(3y - 4x)/3 = (-3 - 2x)/3
This simplifies to:
y - (4/3)x = (-3/3) - (2/3)x
Further simplification yields:
y - (4/3)x = -1 - (2/3)x
So, the equation 3y - 2x + 3 = 0 is equivalent to y - (4/3)x = -1 - (2/3)x.
