Solve the system by addition or substitution. If a unique solution does not exist, state whether the system is inconsistent or dependent.
10x + 2y = 7
y = -5x + 3
What!
2007-07-25 13:02:40 · 5 answers · asked by busy me 2 in Science & Mathematics ➔ Mathematics
Okay, since y = -5x + 3, substitute -5x + 3 for y into the first equation=
10x + 2(-5x + 3) = 7 ==
10x - 10x + 3 = 7 ==
3 = 7
Inconsistant!
2007-07-25 13:07:42 · answer #1 · answered by Gary H 6 · 0⤊ 0⤋
using substitution...
10x + 2y = 7 --- (1)
y = -5x + 3 --- (2)
subst (2) into (1)
10 x + 2(-5x+3) = 7
6 = 7. which means its inconsistent. =)
2007-07-25 13:10:41 · answer #2 · answered by pearlysim 1 · 0⤊ 0⤋
The two lines have the same slope (-5) but different y-intercepts. Thus the lines are parallel and there is no solution.The system is inconsistent.
2007-07-25 13:11:24 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
y = -5x + 7/2
y = -5x + 3
you graph the equation on a calculator from here
2007-07-25 13:09:59 · answer #4 · answered by Phill 4 · 0⤊ 0⤋
It does not exist.
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Reason:
The two equations have the same slope but different y-intercepts.
2007-07-25 13:06:01 · answer #5 · answered by sahsjing 7 · 0⤊ 0⤋