Therefore, the solution to the equation 3+4y=0 is y = -3/4.

  • Thread starter hpla
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In summary, to solve the equation -3+4y=0, the first step is to isolate the variable y by subtracting -3 from both sides. This results in the equation 4y=3. The solution for y is then found by dividing both sides by 4, giving the answer y= 3/4. This can be checked by substituting the value back into the original equation and seeing if it satisfies the equation. Both 4y= 3 and y= 3/4 are correct solutions, but y= 3/4 is the preferred one.
  • #1
hpla
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how i solve this ...

hey how i solve this a simple equation :wink:

-3+4y=0
 
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  • #2


Did you attempt to do this problem? What would be the first thing you do?
 
  • #3


y= 3/4

is it true?
 
  • #4


Yep! :) You can check this answer by plugging it in back to the equation.
 
  • #5


Following is the true solution

-3+4y=0

4y= -3

y = 3/4
 
  • #6


Cadman said:
Following is the true solution

-3+4y=0

4y= -3

y = 3/4

4y= 3 actually.
 
  • #7


Cadman said:
Following is the true solution

-3+4y=0

4y= -3

y = 3/4

rustynail said:
4y= 3 actually.
Both equations are equivalent. If the goal is to solve for y, the equation y = 3/4 is the preferred one.
 
  • #8


Cadman said:
Following is the true solution

-3+4y=0

4y= -3
No, adding 3 to both sides gives 4y= 3, not 4y= -3.

y = 3/4
 

1. What is the general process for solving the equation 3 + 4y = 0?

The general process for solving this equation is to first move the constant term (3) to the other side of the equation by subtracting it from both sides. This will result in 4y = -3. Then, divide both sides by the coefficient of the variable (4) to isolate the variable, resulting in y = -3/4. This is the solution to the equation.

2. Why is it important to isolate the variable when solving equations?

Isolating the variable in an equation is important because it allows us to find the specific value of the variable that satisfies the equation. By isolating the variable, we can see the relationship between the variable and the other terms in the equation, and determine its unique value.

3. Can the equation 3 + 4y = 0 have multiple solutions?

No, this equation can only have one solution. Since there is only one variable (y) and one constant term (3), there is only one possible value for y that will make the equation true.

4. Is there a way to check if the solution to the equation 3 + 4y = 0 is correct?

Yes, there is a way to check if the solution is correct. You can substitute the value of y into the original equation and see if it results in a true statement. In this case, if we substitute y = -3/4, we get 3 + 4(-3/4) = 3 - 3 = 0, which is true. This confirms that -3/4 is the correct solution to the equation.

5. Can the same process be used to solve equations with different variables and coefficients?

Yes, the same general process can be used to solve equations with different variables and coefficients. The key is to always isolate the variable by performing the same operation on both sides of the equation. However, the specific steps may vary depending on the equation and the coefficients involved.

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