Question

How do I figure out how to find the solutions to the system of equations

Answer 1

Answer:

This system of equations has no solution.

Step-by-step explanation:

Solving a system of equations can be done using a few different methods.  Since your second equation is already solved for 'y', you can substitute this expression (-$\frac{1}{2}$x + 3) for the value of 'y' in the first equation:

2x + 4(-$\frac{1}{2}$x + 3) = 10

Distribute:  2x - 2x + 12 = 10

Combine like terms:  0 + 12 = 10 or 12 ≠ 10

Since the variables cancel out and 12 ≠ 10, there are no solutions to this system.