Question

Rewrite the equation so that \(y\) is a function of \(x .\) $$2 x+y=5$$

Short answer

The equation rewritten with \(y\) as a function of \(x\) is \(y = 5 - 2x\).

Step-by-step solution

Analyze the equation

The given equation is \(2x + y = 5 \). The goal is to express y as a function of x.

Isolate y term

For this, the term containing x (which is 2x) should be subtracted from both sides of the equation. This gives: \(y = 5 - 2x\)

Verification

To verify this result, substitute \(y = 5 - 2x\) into the original equation and see if both sides are equivalent. This yields \(2x + 5 - 2x = 5\), which simplifies to \(5 = 5 \) thus verifying the result.