Step-by-step explanation:
[tex]-4x - 6y = 6[/tex]
[tex]4x + 6y = -4[/tex]
To solve a system of equations, we can add the two equations and solve for one of the remaining variables -- let's try to eliminate the [tex]x[/tex] variable when we add the two equations together.
Right now, there's a [tex]-4x[/tex] term in the first equation, and a [tex]4x[/tex] term in the second equation, so if we add those together, we'll be able to eliminate the [tex]x[/tex] variable altogether and solve for [tex]y[/tex].
However, when we also have a [tex]-6y[/tex] term in the first equation and [tex]6y[/tex] term in the second equation, so adding these together will also eliminate the [tex]y[/tex] term, leaving a [tex]0[/tex] on the left-hand side of the equation.
If we add the two numbers on the right side of the equation, we get [tex]-2[/tex], which does not equal [tex]0[/tex], meaning there are no solutions to this system of equations.
