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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]



Answer :

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.

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