Question

Graph each system of equations and find the solution 1. x - 2y = -4 ; x + 2y = 82. 2x - 3y = 3 ; 2x - 3y = 12

Answer 1

1.-

x = 2

y = 3

2.- The system has no solution

Step-by-step explanation:

For 1.

The first system of equations is:

`\begin{gathered} x-2y=-4 \\ x+2y=8 \end{gathered}`

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:

`\begin{gathered} x=2 \\ y=3 \end{gathered}`

For 2.

The second system of equations is:

`\begin{gathered} 2x-3y=3 \\ 2x-3y=12​ \end{gathered}`

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.