The graph represents this system of equations.
{y=2x-4
{y=1-3x

what is the solution to the system of equations?

The answer to your question is (1, -2)

Step-by-step explanation:

See the graph below, in the graph, the solution is circled (1, -2). The solution is the point where the lines cross.

To check the answer, let's solve the system using algebra.

                                    y = 2x - 4

                                    y = 1 - 3x

                                  2x - 4 = 1 - 3x

                                  2x + 3x = 1 + 4

                                          5x = 5

                                            x = 5/5

                                            x = 1

Find y by substitution

                                   y = 2(1) - 4

                                   y = 2 - 4

                                   y = -2

Solution

                                    (1, -2)