Answered

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What is the solution to [tex]$x - 4 = 3.5$[/tex]?

A. [tex]$x = 3.9$[/tex]
B. [tex][tex]$x = 7.5$[/tex][/tex]
C. [tex]$x = 3.1$[/tex]
D. [tex]$x = 1.5$[/tex]

Sagot :

GinnyAnswer
To determine the solution to the equation [tex]\( x - 4 = 3.5 \)[/tex], follow these steps:

1. Understand the equation: It's given that [tex]\( x - 4 = 3.5 \)[/tex].

2. Isolate the variable: To find the value of [tex]\( x \)[/tex], you need to isolate [tex]\( x \)[/tex] on one side of the equation. To do this, you need to eliminate the constant term on the same side as [tex]\( x \)[/tex].

3. Add 4 to both sides:
[tex]\[ x - 4 + 4 = 3.5 + 4 \][/tex]
When you add 4 to the left side, the -4 and +4 cancel out, leaving you with:
[tex]\[ x = 3.5 + 4 \][/tex]

4. Perform the arithmetic:
[tex]\[ 3.5 + 4 = 7.5 \][/tex]

So, the solution to the equation [tex]\( x - 4 = 3.5 \)[/tex] is [tex]\( x = 7.5 \)[/tex].

Hence, the correct answer is:
B. [tex]\( x = 7.5 \)[/tex]
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