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=

Question 102924: 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
y=-5x+3
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.
2.
Use equation (2) and substitute into (1):
2.

Distributive property.
Simplify.
Additive inverse of (-10*x). Simplify.
Additive inverse of (2*y).
Simplify.
Use this results in equation (1).
1.

Since the equations lead to a false statement, they are inconsistent.

Looking at the graphs of both equations, you see that they have the same slope (parallel) and different intercepts. They will never meet (i.e. have a solution).
RELATED QUESTIONS
Solve each of the following systems by using either addition or substitution. If a... (answered by Alwayscheerful)

solve each of the following systems by using either addition or substitution. If a... (answered by venugopalramana)

Solve each of the following systems by using either addition or substitution. If a unique (answered by checkley71)

Solve each of the following systems by using either addition or substitution. If a unique (answered by funmath)

Solve each of the following systems by using either addition or substitution. If a unique (answered by lover5gurl3)

Solve each of the following systems by using either addition or substitution. If a unique (answered by jim_thompson5910)

Solve each of the following systems by using either addition or substitution. If a unique (answered by scott8148)

solve each of the following systems by using either addition or substitution. if a unique (answered by tutorcecilia)

Solve each of the following systems by using either addition or substitution. If a unique (answered by SHUgrad05)