Suganthigunanidhiidn
Answered

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Give the steps you will use to separate variables and solve the equation.

a) [tex]3n - 2 = 46[/tex]

Steps:
1. Add 2 to both sides of the equation to isolate the term with the variable:
[tex]3n - 2 + 2 = 46 + 2[/tex]
[tex]3n = 48[/tex]

2. Divide both sides by 3 to solve for [tex]n[/tex]:
[tex]\frac{3n}{3} = \frac{48}{3}[/tex]
[tex]n = 16[/tex]

Sagot :

GinnyAnsweridn
To solve the equation [tex]\(3n - 2 = 46\)[/tex], follow these steps:

### Step 1: Isolate the term with the variable [tex]\(n\)[/tex]
First, isolate the term with the variable [tex]\(n\)[/tex] on one side of the equation. In this case, the term with the variable is [tex]\(3n\)[/tex]. To do this, add 2 to both sides of the equation to remove the constant term from the left-hand side.

[tex]\[3n - 2 + 2 = 46 + 2\][/tex]

This simplifies to:

[tex]\[3n = 48\][/tex]

### Step 2: Solve for [tex]\(n\)[/tex]
Next, solve for the variable [tex]\(n\)[/tex] by dividing both sides of the equation by the coefficient of [tex]\(n\)[/tex], which is 3.

[tex]\[\frac{3n}{3} = \frac{48}{3}\][/tex]

This simplifies to:

[tex]\[n = 16\][/tex]

### Final Solution

So the solution to the equation [tex]\(3n - 2 = 46\)[/tex] is:

[tex]\[n = 16\][/tex]

By following the steps above, we have determined that [tex]\(n = 16\)[/tex].