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:
```
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4|
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```
Graph for Y = 2x - 3:
```
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2x-3|_________
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```
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.
5. Solve the system of equations by graphing.
X = 4
Y = 2x - 3
1 answer
1 answer