Answer :
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]
### 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.
