Question
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Tutor-Verified Answer
Answer
\( y = \frac{2x - 18}{5} \)
Solution
We start with the equation:
\[
2x - 5y = 18
\]
**Step 1:** Isolate the term with \( y \) by subtracting \( 2x \) from both sides:
\[
-5y = 18 - 2x
\]
**Step 2:** Divide both sides by \(-5\) to solve for \( y \):
\[
y = \frac{18 - 2x}{-5}
\]
**Step 3:** Simplify the expression by factoring out a negative sign in the numerator:
\[
y = \frac{- (2x - 18)}{-5} = \frac{2x - 18}{5}
\]
Thus, the final solution is:
\[
y = \frac{2x - 18}{5}
\]
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Simplify this solution Mind Expander
To solve for \( y \) in the equation \( 2x - 5y = 18 \), you first want to isolate \( y \). Start by moving the \( 2x \) term to the other side: \(-5y = 18 - 2x\). Next, divide both sides by \(-5\) to solve for \( y\): \( y = \frac{2x - 18}{5} \). Now you have \( y \) expressed in terms of \( x \)! If you ever find yourself struggling with isolating variables in equations, remember that the goal is to get the variable you want alone on one side. Common mistakes include forgetting to switch the sign when moving terms across the equals sign, or misplacing negative signs during calculations. Always double-check your arithmetic!
