Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Explore thousands of questions and answers from knowledgeable experts in various fields on our Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Solve the equation [tex]$3x + 6y = 18$[/tex] for [tex]$x$[/tex].

A. [tex]$x = 3 - \frac{1}{2} y$[/tex]

B. [tex][tex]$x = 6 - 2y$[/tex][/tex]

C. [tex]$x = 18 - 6y$[/tex]

D. [tex]$x = 2y - 6$[/tex]

Sagot :

GinnyAnswer
Sure, let's solve the equation [tex]\(3x + 6y = 18\)[/tex] for [tex]\(x\)[/tex] step-by-step.

### Step 1: Isolate the term with [tex]\(x\)[/tex]
We start by isolating the term containing [tex]\(x\)[/tex] on one side of the equation. To do this, we can subtract [tex]\(6y\)[/tex] from both sides of the equation:

[tex]\[3x = 18 - 6y\][/tex]

### Step 2: Solve for [tex]\(x\)[/tex]
Next, we want to solve for [tex]\(x\)[/tex] by isolating it completely. To do that, we need to divide both sides of the equation by the coefficient of [tex]\(x\)[/tex], which is 3:

[tex]\[x = \frac{18 - 6y}{3}\][/tex]

### Step 3: Simplify the expression
We can simplify the right-hand side of the equation:

[tex]\[x = \left(\frac{18}{3}\right) - \left(\frac{6y}{3}\right)\][/tex]
[tex]\[x = 6 - 2y\][/tex]

So, the solution for [tex]\(x\)[/tex] in terms of [tex]\(y\)[/tex] is:

[tex]\[x = 6 - 2y\][/tex]

Thus, the correct answer is:
B. [tex]\(x = 6 - 2y\)[/tex]

Answer: B) x=6-2y

Step-by-step explanation:

To solve the equation (3x + 6y = 18), we can start by simplifying it.

Divide every term by 3:

x + 2y = 6

This is a linear equation in two variables, x and y. To express x in terms of y:

x = 6 - 2y

This shows the relationship between x and y.

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.