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linear system of two dependent equations
How do I find out if it has a solution?
Graph it or solve it
Multiply -1 to the 2nd equation..what do you get?
A system of equations is a collection of 2 or more equations with the same set of unknowns
In both equations, when solving for y,I got y=4x-4 Does that mean they have no solution, or one unique solution?
\(\sf (-4x + y = -4) \cdot -1 = ~ \! ?\)
wrong answer....do what igreen says...it will eventually make sense to you
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
I have another similar problem where the lines are parallel. Does that mean they have no solution?
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
That is exactly what I needed to know! Thanks!