Question

What is the solution to this system of equations? -5.9x-3.7y=-2.1 5.9x+3.7y=2.1

A. (0, -2.1)

B. (0, 2.1)

C. infinitely many solutions

D. no solutions

Answer 1

C. infinitely many solutions

Explanation:

You have the following 2x2 system of equation:

`-5.9x-3.7y=-2.1\ \ \ \ (1)\\\\5.9x+3.7y=2.1\ \ \ \ \ \ \ \ (2)`

You can notice that if you multiply the equation (1) by -1 you obtain the equation (2). That is, the first equation is scalar multiple of the second one. Due to this situation, the system of equation has infinite solution

C. infinitely many solutions