How did you solve this mathematics explain more

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ScanSolve AI Tutor · Accepted Answer

To solve these types of mathematics problems, which are linear equations, the main goal is to isolate the variable (like $y$ , $q$ , $x$ , or $c$ ) on one side of the equation. You achieve this by performing inverse operations to move numbers away from the variable.

Here's how it works:

If a number is added to the variable term, you subtract it from both sides of the equation.
If a number is subtracted from the variable term, you add it to both sides of the equation.
If a number is multiplying the variable, you divide both sides by that number.
If a number is dividing the variable, you multiply both sides by that number.

Let's take the first problem, $2y + 8 = 20$ , as an example:

The number 8 is added to $2y$.
To move it, we perform the inverse operation: subtract 8 from both sides.
$2y + 8 - 8 = 20 - 8$
This simplifies to:
$2y = 12$
The number 2 is multiplying $y$ .
To move it, we perform the inverse operation: divide both sides by 2.
$\frac{2y}{2} = \frac{12}{2}$
This simplifies to:
$y = 6$
By following these steps, you systematically isolate the variable to find its value.

How did you solve this mathematics explain more

Step-by-step solution

The number 8 is added to $2y$.

The number 2 is multiplying $y$ .

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How did you solve this mathematics explain more

Step-by-step solution

The number 8 is added to $2y$.

The number 2 is multiplying yyy.

Still stuck on this one?

More Mathematics Questions

The number 2 is multiplying $y$ .