Question

explain the process of solving the equation. show the missing steps on each step. simplify any fractions. 4t + 11 = 13 4t = subtract 11 from both sides t = divide both sides by 4

Explanation:

Step1: Isolate the term with the variable

To solve for \(y\) in the equation \(4y + 11=13\), we first need to get rid of the constant term \(11\) on the left - hand side. We do this by subtracting \(11\) from both sides of the equation.
\[4y+11 - 11=13 - 11\]
\[4y = 2\]

Step2: Solve for the variable

Now that we have \(4y = 2\), to find the value of \(y\), we divide both sides of the equation by the coefficient of \(y\), which is \(4\).
\[y=\frac{2}{4}\]
Simplify the fraction \(\frac{2}{4}\) by dividing both the numerator and the denominator by their greatest common divisor, which is \(2\).
\[y=\frac{1}{2}\]

Answer:

\(y = \frac{1}{2}\)