Question:
Solve for \( y \) in terms of \( x \) if \( 4x - 5y = 20 \).
Solve for \( y \) in terms of \( x \) if \( 4x - 5y = 20 \).
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When solving for a variable, isolate it by first moving all other terms to the opposite side of the equation, then simplify and solve.
Updated On: Oct 6, 2025
- \( y = \frac{4x - 20}{5} \)
- \( y = \frac{20 - 4x}{5} \)
- \( y = \frac{5x - 20}{4} \)
- \( y = \frac{20 + 4x}{5} \)
- \( y = \frac{20 + 5x}{4} \)
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The Correct Option is B
Solution and Explanation
The given equation is:
\[
4x - 5y = 20.
\]
To solve for \( y \), first subtract \( 4x \) from both sides:
\[
-5y = 20 - 4x.
\]
Next, divide both sides by \( -5 \) to isolate \( y \):
\[
y = \frac{20 - 4x}{-5}.
\]
Finally, simplify the fraction:
\[
y = \frac{20 - 4x}{5}.
\]
Thus, the solution for \( y \) is:
\[
y = \frac{20 - 4x}{5}.
\]
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