Answered

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What is the value of [tex]$x$[/tex] in the equation [tex]$3x - \frac{1}{9}y = 18$[/tex], when [tex][tex]$y = 27$[/tex][/tex]?

A. 5
B. 7
C. 45
D. 63

Sagot :

GinnyAnswer
To solve the equation [tex]\(3x - \frac{1}{9} y = 18\)[/tex] for [tex]\(x\)[/tex] given that [tex]\(y = 27\)[/tex], follow these steps:

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

[tex]\[ 3x - \frac{1}{9} \cdot 27 = 18 \][/tex]

2. Simplify the term involving [tex]\(y\)[/tex]:

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

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

Add 3 to both sides of the equation:

[tex]\[ 3x = 21 \][/tex]

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

Divide both sides by 3:

[tex]\[ x = \frac{21}{3} \][/tex]

[tex]\[ x = 7 \][/tex]

Therefore, the value of [tex]\(x\)[/tex] is [tex]\(7\)[/tex].

So the correct answer is:

[tex]\[ \boxed{7} \][/tex]
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