Determine whether the lines -3x+y=3 and y=-2+3 are parallel, intersect, or coincide.

Question

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Answer 1

Hi Omoye-

 

You may have mistyped the question.  Did you mean:

-3x+y=3 and y=-2x+3?

 

If so change each linear equation into slope-intercept form.   Hint the 2nd linear equation is already in slope-intercept form.

 

Then you can solve in 1 of 3 different ways:

1) Substitution. Substitute -2x+3 for y in the 1st linear equation) and solve for x and then for y, or

2) Elimination.  or

3) Graph each equation and find the point of intersection (x= number and x= number, number = number (coincide) or nonsense (-3 = 7) parallel.

 

Does that help?

 

Bob