Question

Consider the system given below.

y = 2/3x+ 3
y = 5/2x+7/2
Which of the following is true about the solution set of the system?
A The solution is a point in the coordinate plane.
B. The solution is all the points on the line y = {x + 3
C The solution is a point on the X-axis.
D The solution is the region in the coordinate plane above y =
2x +

Answer 1

A The solution is a point in the coordinate plane.

Explanation:

The slope of each of these lines is the coefficient of x. The slopes are different, so the lines must intersect in one point. That point is not on either of the x- or y-axes.

The solution set is a point in the coordinate plane.

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Since these are equations, the solution set is not a region. It would be a region if these were inequalities.