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Solve for [tex][tex]$x$[/tex][/tex] in the equation below:

[tex]\frac{x}{y} - z = r w[/tex]

A. [tex]x = r w y + z[/tex]

B. [tex]x = r w y - z[/tex]

C. [tex]x = r w (y - z)[/tex]

D. [tex]x = y (z + r w)[/tex]

Sagot :

GinnyAnswer
To solve for [tex]\( x \)[/tex] in the given equation:

[tex]\[ \frac{x}{y} - z = r \cdot w \][/tex]

we will follow these steps:

1. Isolate the term involving [tex]\( x \)[/tex]:
[tex]\[ \frac{x}{y} = r \cdot w + z \][/tex]

To achieve this, add [tex]\( z \)[/tex] to both sides of the equation:

[tex]\[ \frac{x}{y} - z + z = r \cdot w + z \][/tex]

Simplifying, we get:

[tex]\[ \frac{x}{y} = r \cdot w + z \][/tex]

2. Eliminate the denominator to solve for [tex]\( x \)[/tex]:

Multiply both sides of the equation by [tex]\( y \)[/tex]:

[tex]\[ x = y \cdot (r \cdot w + z) \][/tex]

Thus, the solution for [tex]\( x \)[/tex] is:

[tex]\[ x = y \cdot (r \cdot w + z) \][/tex]
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