SOLUTION: Solve 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

Question 82047: Solve 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
Answer by jayanthihemkos@yahoo.com(87) (Show Source): You can put this solution on YOUR website!
10x+2y=7--------(1)
y=-5x+3-------(2)
plugging the value of y from equation(2) into equation (1) ,we have
10x+2(-5x+3) =7
10x -10x+6 = 7
since we have +10x and -10x in the above equation they get cancelled
Hence there is no solution
Hence the system is inconsistent
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