Solve by addition or subtraction. If a unique solution exists, state if it's dependant or independant.?

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Solve by addition or subtraction. If a unique solution exists, state if it's dependant or independant.?

10x+2y=7
y=-5x+3

2007-11-09 03:53:49 · 3 answers · asked by Boogie 2 in Science & Mathematics ➔ Mathematics

3 answers

This system is inconsistent.
Divide the first equation by 2:
5x + y = 3.5
Rewrite the second:
5x + y = 3.
Subtracting, we get 0 = .5,
so no solution exists.

2007-11-09 03:59:05 · answer #1 · answered by steiner1745 7 · 1⤊ 0⤋

The first thing I did was set the first equation equal to zero
10x+2y-7=0
then substitute in the second equation y=-5x+3 for y into the first equation to get
10x+2(-5x+3)-7=0, multiply by 2 to get
10x-10x-6-7=0, then simplfy to get
-1=0, obviously -1 cannot equal zero so the equations are independent

2007-11-09 04:19:31 · answer #2 · answered by beastiegirl 2 · 0⤊ 0⤋

why - what's in it for me.

2007-11-09 03:56:37 · answer #3 · answered by Wayne ahrRg 4 · 0⤊ 1⤋