Question
Select the choice that represents this two- variable equation after it has been solved for \( y \) in terms of \( x \). \[ 2 y=-10 x \]
Ask by Klein Bryant. in the United States
Mar 19,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( y = -5x \)
Solution
Solve the equation \( 2y=-10x \).
Solve the equation by following steps:
- step0: Solve for \(y\):
\(2y=-10x\)
- step1: Divide both sides:
\(\frac{2y}{2}=\frac{-10x}{2}\)
- step2: Divide the numbers:
\(y=-5x\)
The two-variable equation \(2y=-10x\) solved for \(y\) in terms of \(x\) is \(y=-5x\).
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Simplify this solution Extra Insights
To isolate \( y \), you simply need to divide both sides of the equation by \( 2 \). This gives you: \[ y = -5x \] Now, you've got \( y \) expressed in terms of \( x \), which means you can easily plug in different values of \( x \) to find the corresponding \( y \) values! How handy is that?
