Question

(-5x +3y = 0)
(7x -4y = 2)
-5x +3y = 0
7x -4y = 2
\overline{\square x + \square y = \square} try

Explanation:

Step1: Add the x-terms

To find the coefficient of \( x \), we add the coefficients of \( x \) from the two equations. The coefficient of \( x \) in the first equation is \( -5 \) and in the second is \( 7 \). So, \( -5 + 7 = 2 \).

Step2: Add the y-terms

For the coefficient of \( y \), we add the coefficients of \( y \) from the two equations. The coefficient of \( y \) in the first equation is \( 3 \) and in the second is \( -4 \). So, \( 3 + (-4) = -1 \).

Step3: Add the constants

For the constant term, we add the constants from the two equations. The constant in the first equation is \( 0 \) and in the second is \( 2 \). So, \( 0 + 2 = 2 \).

Answer:

\( 2x + (-1)y = 2 \) (or \( 2x - y = 2 \))