Question

In the system of equations below, a and b are constants. If the system has infinitely many solutions, what is the value of a?

a) 0
b) 1
c) -1
d) Any real number

Answer 1

The value of a in the system of equations can be any real number (d) Any real number.

Step-by-step explanation:

• To determine the value of a in the system of equations, we need to analyze the conditions for it to have infinitely many solutions. When solving a system of linear equations, if the coefficients of the variables are the same for both equations, and the constants on the right side of the equations are different, the system will have infinitely many solutions. In this case, the coefficients of a in both equations are the same, so the value of a can be any real number (d) Any real number.