Answer:
(a) (3, -1)
Step-by-step explanation:
You want the graphical solution to the system ...
Graph
A graphing calculator plots these equations easily, and will give you the coordinates of the point where the lines intersect. That point is the solution to the system of equations:
(x, y) = (3, -1)
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Additional comment
Here, the offered choices are the y-intercepts (clearly wrong), and points in the first and fourth quadrants. You can choose the correct point by thinking about the x-intercepts.
The line with positive slope has an x-intercept of 7/2 = 3.5. For positive x-values less than this, the line is in the 4th quadrant.
The line with negative slope has an x-intercept of -8/-3 ≈ 2.7. For positive x-values greater than this, the line will be in the 4th quadrant.
The point of intersection must be in the 4th quadrant with an x-value between 2.7 and 3.5. Only one answer choice is like this: (3, -1).
