Determine whether there is a solution for the system of linear equations below. If not, explain why not.
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Put y= 3x+1 into 3y+2=6x-1
3 (3x+1 ) +2 = 6x -1
Expand the terms and simplify it
3(3x) +1(3) +2 =6x -1
9x +3+2 =6x -1
9x +5 = 6x -1
minus 6x on both sides and minus 5 on both sides
9x +5 = 6x -1
9x +5 -6x -5 = 6x-1 -6x -5
3x = -6
Divide both sides by -3 and you can get a value of x
Since there is a solution to the equation, they have a intersection point
So do you understand it?
Yes, thank you for taking the time to explain all of that. I appreciate it, because this question has been giving me a hard time!
you're welcome :) there is another case.. That is you cannot solve of the 2 equations, which means that there is no intercept between 2 lines, ie they are parallel to each other