Respuesta :

[tex]\begin{gathered} y=2x-12 \\ y=-3x+18 \end{gathered}[/tex]

we can replace the value of y from one equation to another

this time I want to replace the first value of Y in the second equation

then

[tex](2x-12)=-3x+18[/tex]

we will put the values ​​accompanied with x on one side and the numbers on the other side

[tex]2x+3x=18+12[/tex]

do the operations

[tex]5x=30[/tex]

solve for x dividing 5 on both sides

[tex]x=\frac{30}{5}=6[/tex]

the value of x is 6, now I can replace x on any of the principal equations

I am replacing on the second

[tex]\begin{gathered} y=-3x+18 \\ y=-3(6)+18 \\ y=-18+18 \\ y=0 \end{gathered}[/tex]

the vaku