Question

x = y
5x - 2y = 9

Explanation:

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

Since \( x = y \), we can replace \( x \) with \( y \) (or vice versa) in the equation \( 5x - 2y = 9 \). Substituting \( x = y \) gives us \( 5y - 2y = 9 \).

Step2: Simplify the left - hand side

Simplify \( 5y - 2y \). Combining like terms, we know that \( 5y-2y=(5 - 2)y = 3y \). So the equation becomes \( 3y=9 \).

Step3: Solve for \( y \)

To solve for \( y \), we divide both sides of the equation \( 3y = 9 \) by 3. So \( y=\frac{9}{3}=3 \).

Step4: Solve for \( x \)

Since \( x = y \), and we found that \( y = 3 \), then \( x=3 \).

Answer:

The solution to the system of equations is \( x = 3 \) and \( y = 3 \)