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
To find the value of [tex]\( x \)[/tex] in the equation [tex]\( 2x + 3y = 36 \)[/tex] when [tex]\( y = 6 \)[/tex], follow these steps:

1. Start with the original equation:
[tex]\[ 2x + 3y = 36 \][/tex]

2. Substitute [tex]\( y = 6 \)[/tex] into the equation:
[tex]\[ 2x + 3(6) = 36 \][/tex]

3. Simplify the term [tex]\( 3 \cdot 6 \)[/tex]:
[tex]\[ 2x + 18 = 36 \][/tex]

4. Subtract 18 from both sides of the equation to isolate the term with [tex]\( x \)[/tex]:
[tex]\[ 2x = 36 - 18 \][/tex]
[tex]\[ 2x = 18 \][/tex]

5. Divide both sides by 2 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{18}{2} \][/tex]
[tex]\[ x = 9 \][/tex]

Therefore, the value of [tex]\( x \)[/tex] is [tex]\(\boxed{9}\)[/tex].
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