Question

1. here is a system of equations: \\(\

$$\begin{cases}x = 14 \\\\ 2x - 5y = 13\\end{cases}$$

\\) in the solution \\((x, y)\\), what is the value of \\(y\\)? here is an incomplete system of equations. crea system has no solution. \\(y = \frac{3}{4}x - 4\\) \\(?\\)

Explanation:

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

We know \( x = 14 \), so substitute \( x \) 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:

\( y = 3 \)