solve each of the following systems by using either addition or substitution. If a unique solution does not exist, state whether the systems is dependent or inconsistent.
10x 2y = 7
y = - 5x + 3
2007-07-18 11:56:26 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
10x + 2y = 7
y = - 5x + 3
then 10x + 2(-5x +3) =7
10x -10x +6 =7
does not have any solutions.
2007-07-22 09:02:25 · answer #1 · answered by Anonymous · 1⤊ 0⤋
10x + 2y = 7 <-- I assume you meant a + sign
y = - 5x + 3
Solve the 1st equation for y getting:
y = -5x +3.5
Since the two equations have the same slope and different y-intercepts, the lines are parallel and thus inconsistent.
2007-07-18 19:49:01 · answer #2 · answered by ironduke8159 7 · 2⤊ 0⤋
If you mean 10x+2y=7........1
and y=-5x+3.........2
Rearrange 2
5x+y=3.............3
Equation 1 - 2 x equation 3
0 = 1
This is inconsistent. There is no solution.
2007-07-18 19:11:22 · answer #3 · answered by Anonymous · 1⤊ 1⤋