Solve the system of equations using subtraction. y = -2x + 1 4x + 2y = -3 a. Infinity many solutions b. No solution c. (0,-5) d. (-5,0)

Given:

The given system of equation is:

To find:

The solution of given system of equations using subtraction.

Solution:

We have,

            ...(i)

        ...(ii)

First equation can be rewritten as

            (Adding 2x on both sides)

      ...(iii)        (Multiplying both sides by 2)

After subtracting (ii) from (iii), we get

This statement is false because . It means, there is no value of x and y for which the given system of equations are true.

Therefore, the given system of equations has no solution and the correct option is b.