Question

How many solutions does this system of linear equations have?

-2x - 3y = 7
-0.4x - 0.6y = 1.4
(a) No solutions
(b) One solution
(c) Two solutions
(d) Infinitely many solutions

Answer 1

The given system of linear equations has one solution.

Step-by-step explanation:

To determine the number of solutions for the given system of linear equations, we can solve the equations simultaneously and check the result.

We have the system of equations -2x - 3y = 7 and -0.4x - 0.6y = 1.4. We can solve this system by using the method of substitution or elimination.

After solving the system, we find that the equations represent one solution. Therefore, the correct answer is (b) One solution.