9514 1404 393
Answer:
(x, y) = (2.5, 6.5)
Explanation:
I find it easier just to solve the system of equations:
x + 4 = 3x - 1
5 = 2x
x = 5/2 = 2.5
y = x+4 = 6.5
(x, y) = (2.5, 6.5)
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Additional comments
The first equation has a positive y-intercept and a positive slope, so makes a triangle with the axes in the 2nd quadrant.
The second equation has a negative y-intercept and a (more) positive slope, so makes a triangle with the axes in the 4th quadrant. The slope is greater for this line, so the lines will intersect in the 1st quadrant. Without more effort, the best estimate at this point is that x and y are both positive and y > 4.