Determine the number

Question

r of solutions of this system of linear equations:%0D%0A%0D%0A−x+y=3%0D%0A−%0D%0A%0D%0A+%0D%0A%0D%0A=%0D%0A3%0D%0A%0D%0A−2x+2y=3

Answer 1

To determine the number of solutions of the system of linear equations, we need to look at the slopes of the two equations.

First equation: -x + y = 3
Slope: y = x + 3

Second equation: -2x + 2y = 3
Slope: y = x + 3/2

Since the slopes of the two equations are not equal, the lines are not parallel and they intersect at a single point. Therefore, the system of linear equations has only one solution.