please. Following system of equation using the elimination method and answer the value of x 2 x + 5y equals to 5x + 10 y equals 17

we are given the following system of equations:
[tex]\begin{gathered} 2x+5y=2,(1) \\ 5x+10y=17,(2) \end{gathered}[/tex]Now we multiply equation (1) by -2, we get:
[tex]-4x-10y=-4[/tex]Now we will add this equation to equation (2):
[tex](5x+10y)+(-4x-10y)=17-4[/tex]Adding like terms:
[tex]x=13[/tex]