Given the system of equations
2x+5y=17
4x-8y=12
Multiplying every term in the first equation by -2 will give
[tex]\begin{gathered} -2(2x+5y=17) \\ -4x-10y=-34 \end{gathered}[/tex]It is obvious that the coefficient of x is 2 in the first equation is now the opposite coefficient of value -4
Hence, the new equation would be ₋4x-10y= -34