Answered

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What is the value of [tex]$x$[/tex] in the equation [tex]$2x + 3y = 36$[/tex] when [tex][tex]$y = 6$[/tex][/tex]?

A. 8
B. 9
C. 27
D. 36

Sagot :

GinnyAnswer
Certainly! Let's solve the equation [tex]\(2x + 3y = 36\)[/tex] given [tex]\(y = 6\)[/tex]. We will follow a step-by-step approach:

1. Substitute the value of [tex]\(y = 6\)[/tex] into the equation:

[tex]\[ 2x + 3(6) = 36 \][/tex]

2. Simplify the equation by performing the multiplication:

[tex]\[ 2x + 18 = 36 \][/tex]

3. Isolate the term containing [tex]\(x\)[/tex]:

- Subtract 18 from both sides of the equation:

[tex]\[ 2x + 18 - 18 = 36 - 18 \][/tex]

[tex]\[ 2x = 18 \][/tex]

4. Solve for [tex]\(x\)[/tex]:

- Divide both sides of the equation by 2:

[tex]\[ x = \frac{18}{2} \][/tex]

[tex]\[ x = 9 \][/tex]

So the value of [tex]\(x\)[/tex] is [tex]\(9\)[/tex].

Therefore, the correct answer is [tex]\( \boxed{9} \)[/tex].
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