Question

Match the one-variable equation with its related function. $$2 x=10$$ A. \(y=2 x-16\) B. \(y=-2 x-11\) c. \(y=2 x-10\) D. \(y=2 x-1\) E. \(y=18 x+3\)

Short answer

The Equation \(2x = 10\) matches with the Function \(y=2 x-10\).

Step-by-step solution

Isolate the variable

To solve the equation \(2x = 10\) for x, divide both sides of the equation by 2. The result is \(x = 5\).

Identify the correspondent function

Search for a function that, when \(x = 5\), its outcome equals 10. Attempt to substitute \(x = 5\) into each function to find the correct one. After you compute each substitute, you discover that the function \(y = 2x - 10\) is the correct match.