Question

CAN SOMEONE PLEASE

Answer 1

Answer: The graph is shown below

The solution to the system is (x,y) = (2,3)

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Explanation:

To graph $y = \frac{5}{2}x-2$, we need two points. Generating any (x,y) point involves picking a random x value to find its paired y value. For instance, if you plugged in x = 0, you should get to y = -2 which is the y intercept. Then trying something like x = 2 will lead to y = 3. This line goes through (0,-2) and (2,3). This line is shown in red below.

The blue line is horizontal and goes through 3 on the y axis. Every point on this horizontal line has the same y coordinate of 3. The x value doesn't matter, so it's not part of the equation y = 3.

The intersection of the red and blue line is the solution to the system. That intersection occurs at (x,y) = (2,3). This means x = 2 and y = 3 pair up together to make both original equations true.

Since this system has at least one solution, we consider it a consistent system.