Question 91730
10x+2y=7 and y=-5x+3 
Using the substitution method:
y=-5x+3 [substitute back into the first equation]
.
10x+2y=7
10x+2(-5x+3)=7
10x-10x+6=7
0+6=7
6 does not equal to 7
Therefore, the system is inconsistent with no solution.