Rearranging formula 3y + x = -1

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In summary, Rearranging formulas allows us to solve for a specific variable in an equation. This can be useful in many scientific and mathematical applications, such as solving for unknown values in physics equations or finding the roots of a polynomial. To solve for y, we need to isolate the term with y on one side of the equation. In this case, we can start by subtracting x from both sides to get 3y = -x - 1. Next, we divide both sides by 3 to get the final answer of y = (-x - 1)/3. Yes, we can rearrange the formula to solve for x by subtracting 3y from both sides to get x = -1 - 3y
  • #1
gazparkin
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Hello,

I'm trying to work out the individual steps to get from start: 3y + x = -1

to: 3y = -x -1

to: y = - 1/3x -1/3

Could anyone help me with this!

Thank you :-)
 
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  • #2
$3y+x=-1$

subtract $x$ from both sides ...

$3y = -x-1$

divide all terms by 3 ...

$\dfrac{3y}{3} = -\dfrac{x}{3} - \dfrac{1}{3}$

$\dfrac{\cancel{3}y}{\cancel{3}} = -\dfrac{x}{3} - \dfrac{1}{3}$

$y = -\left(\dfrac{x}{3} + \dfrac{1}{3}\right)$

$y = - \dfrac{x+1}{3}$
 

FAQ: Rearranging formula 3y + x = -1

How do you solve for x in the formula 3y + x = -1?

To solve for x, we need to isolate it on one side of the equation. First, we can subtract 3y from both sides to get x = -1 - 3y. Then, we can simplify further if needed.

Can you rearrange the formula 3y + x = -1 to solve for y instead?

Yes, we can rearrange the formula to solve for y by subtracting x from both sides, giving us 3y = -1 - x. Then, we can divide both sides by 3 to get y = (-1 - x)/3.

Is there a specific order to follow when rearranging formulas?

Yes, we typically follow the order of operations (PEMDAS) when rearranging formulas. This means we first simplify any parentheses, then exponents, then multiplication and division (in the order they appear), and finally addition and subtraction (in the order they appear).

Can you use the same steps to rearrange more complex formulas?

Yes, the same principles apply when rearranging more complex formulas. It is important to keep track of the operations and follow the order of operations to ensure an accurate rearrangement.

Are there any tips for checking if a rearranged formula is correct?

One tip is to substitute the values of the variables back into the original formula and the rearranged formula to see if they give the same result. Another tip is to double check the order of operations and ensure all steps were performed correctly.

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