can someone correct this for me.

Directions: Solve the following systems by using either addition or substitution. If a unique solution does not exist, state whether the system is dependent or inconsistent.

10x + 2y = 7
y = -5x + 3

the answer:

The variable disappeared and 6 does not equal 7, thereforethere is no solution and the system is inconsistent.

*IF I AM WRONG PLEASE DON'T GIVE ME THE ANSWER I WANT TO TRY TO FIGURE IT OUT MYSELF I AM TRYING TO PRACTICE FOR A FINAL EXAM.THANKS.

correct. Good work.