Determine the number of solutions to this system of linear equations:

Question

2x + y = 6
4x + 2y = 8 (1 point)

2
0
infinite
1

Answer 1

1

This system of linear equations can be rewritten as:

(2x + y = 6) multiplied by 2 becomes 4x + 2y = 12

As we can see, the second equation 4x + 2y = 8 simplifies to 4x + 2y = 12, which is the same as the first equation when multiplied by 2. This means that the two equations describe the same line in a coordinate plane, and therefore have infinite solutions.