Question

5. Solve the system of equations by graphing.
X = 4
Y = 2x - 3

Answer 1

To solve the system of equations by graphing, we need to plot the two lines represented by each equation on the coordinate plane and see where they intersect.

The first equation, X = 4, represents a vertical line passing through x = 4. So, we can simply draw a vertical line at x = 4.

The second equation, Y = 2x - 3, is in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept. The slope of the line is 2, which means for every increase of 1 in x, y increases by 2. The y-intercept is -3, which means the line crosses the y-axis at y = -3.

Now, let's graph the lines:

Graph for X = 4:
```
|
|
|
4|
|
```

Graph for Y = 2x - 3:
```
|
|
2x-3|_________
|
|
|
```

From the graph, we can see that the two lines intersect at the point (4, 5). Therefore, the solution to the system of equations is x = 4 and y = 5.