Question

here is a system of equations:
$x = 14$
$2x - 5y = 13$
in the solution $(x, y)$, what is the value of $y$?

Explanation:

Step1: Substitute \( x = 14 \) into the second equation

We know \( x = 14 \), so substitute it into \( 2x - 5y = 13 \). We get \( 2\times14 - 5y = 13 \).

Step2: Simplify the left - hand side

Calculate \( 2\times14 = 28 \), so the equation becomes \( 28 - 5y = 13 \).

Step3: Solve for \( y \)

First, subtract 28 from both sides: \( - 5y=13 - 28 \). Calculate \( 13 - 28=-15 \), so \( - 5y=-15 \). Then divide both sides by - 5: \( y=\frac{-15}{-5}=3 \).

Answer:

\( 3 \)