The answer is (-1,3) but i don't understand how they got that answer. can someone explain.

The solution is (-1, 3).

Step-by-step explanation:

Given:

The system of equations are given as:

The slope-intercept form of a line is given as:

Where, 'm' is the slope and 'b' is the y-intercept.

For the first equation

So, the slope is negative and the change of y with x is always equal to 1.

This means that if 'x' changes from 0 to 1, then 'y' will decrease by 1 unit.

Also, the y-intercept is at (0, 2)

Now, marking the point (0, 2) on the graph and then increasing 'x' by 1 unit and decreasing 'y' by 1 unit, we get another point at (1, 1). Then draw a line a passing through these two points. The line is the graph of the first equation.

Similarly, consider the second equation.

Here,

So, we mark the point (0, 6) and then increase 'x' by 1 unit and increase 'y' by 3 units to get the point (1, 9). Draw a line passing through these 2 points.

The graphs are shown below. The point of intersection of both the lines is the required solution. As we can see from the graph, the point of intersection is at (-1. 3).

Therefore, the solution is (-1, 3).

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