Alexander B. answered • 09/10/16

PhD in Engineering with 20 yrs of Math and Science Teaching Experience

{-5y+5x=12

Lexi E.

asked • 09/09/16{-2y+2x=3

{-5y+5x=12

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Alexander B. answered • 09/10/16

PhD in Engineering with 20 yrs of Math and Science Teaching Experience

This system of equation is inconsistent: it has no solution.

{-2y+2x=3

{-5y+5x=12

{-5y+5x=12

Check the determinant: (-2*5) - (-5*2) = 0

Another way to check the answer is by using online system equations solver: http://examn8.com/SystemOfEquations.aspx

Hope this helps.

Arturo O. answered • 09/09/16

Experienced Physics Teacher for Physics Tutoring

-2y + 2x = 3

-5y + 5x = 12

-5y + 5x = 12

Let us change both of these to the form y = mx + b, where m = slope and b = y intercept

-2y + 2x = 3

-2y = -2x + 3

y = (-2/-2)x + 3/(-2)

y = x - 3/2

-5y + 5x = 12

-5y = -5x + 12

y = (-5/-5)x + 12/(-5)

y = x - 12/5

Our 2 equations are

y = x - 3/2

y = x - 12/5

Note they have the same slope, so they are parallel lines. They have different y-intercepts, so they are different lines. There is no intersection, i.e. no pair (x,y) that satisfies both equations, hence no solution.

Mark M. answered • 09/09/16

Mathematics Teacher - NCLB Highly Qualified

The slopes and y-intercepts are different. The system is consistent. The system has one solution.

Andrew M.

The inconsistent system has no solution, not one. Typos are a pain. :-)

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09/09/16

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Andrew M.

inconsistentzero solutions09/09/16