SOLUTION: solve each of 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

Question 91730: solve each of 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 and y=-5x+3
thank you for your help
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
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.
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