Solve the system {4x − 10y = 4 −6x + 15y = −6 a. x=2, y=5 b. (2, 2x-2/5) c. x=3, y=2 d. all real solutions e. x=1, y=2

Both of the equations have common factors that can be factored out simplifying them.

4x − 10y = 4 > divide both sides by 2

−6x + 15y = −6 > divide both sides by -3

After taking out the common factors, the equations become:

2x - 5y = 2

2x - 5y = 2

They are both the same equation, so the solution is all real solutions of the equation.

d. all real solutions