Answer:
1.-
x = 2
y = 3
2.- The system has no solution
Explanation:
For 1.
The first system of equations is:
[tex]\begin{gathered} x-2y=-4 \\ x+2y=8 \end{gathered}[/tex]
the graph of these two equations is as follows:
the solution to the system of equations is the point where the graph of the two equations meet:
In this case is the point (2,3)
so the solutions is:
[tex]\begin{gathered} x=2 \\ y=3 \end{gathered}[/tex]
For 2.
The second system of equations is:
[tex]\begin{gathered} 2x-3y=3 \\ 2x-3y=12 \end{gathered}[/tex]
And the graph for these equations is:
As you can see, this time the lines don't meet at any point. So this system of equation has no solution.
