Littlebird
  • Littlebird
Is this a system of equations? 4x-y=4 -4x+y=-4
Mathematics
katieb
  • katieb
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ganeshie8
  • ganeshie8
linear system of two dependent equations
Littlebird
  • Littlebird
How do I find out if it has a solution?
iGreen
  • iGreen
Graph it or solve it

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iGreen
  • iGreen
Multiply -1 to the 2nd equation..what do you get?
texaschic101
  • texaschic101
A system of equations is a collection of 2 or more equations with the same set of unknowns
Littlebird
  • Littlebird
In both equations, when solving for y,I got y=4x-4 Does that mean they have no solution, or one unique solution?
iGreen
  • iGreen
\(\sf (-4x + y = -4) \cdot -1 = ~ \! ?\)
texaschic101
  • texaschic101
wrong answer....do what igreen says...it will eventually make sense to you
Littlebird
  • Littlebird
4x-y=4
texaschic101
  • texaschic101
oh..I see what you did LittleBird...you see that both equations are equal...they are the same. That means they are the same line......infinite solutions
Littlebird
  • Littlebird
I have another similar problem where the lines are parallel. Does that mean they have no solution?
texaschic101
  • texaschic101
Little lesson.. (when finding out how many solutions a system of equations have) In y = mx + b form, the slope is in the m position and the y intercept is in the b position. (when comparing a system of equations).. If the slope and the y intercepts are equal, then it has infinite solutions if the slope is the same, but the y intercepts are different...parallel lines with no solutions. if the slopes and the y intercepts are different, then it has 1 solution
Littlebird
  • Littlebird
That is exactly what I needed to know! Thanks!
texaschic101
  • texaschic101
anytime :)

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