SOLUTION: I've tried to solve these linear equations -5x+3y=-5 y=5/3x+1 ...About five times but I keep getting 3=-5. Please explain to me what I am doing wrong and how I can correct my

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Question 794210: I've tried to solve these linear equations
-5x+3y=-5
y=5/3x+1
...About five times but I keep getting 3=-5. Please explain to me what I am doing wrong and how I can correct my error. I'm supposed to find the Point of Intersect without graphing or calculators.

Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
I've tried to solve these linear equations
-5x+3y=-5
y=5/3x+1
...About five times but I keep getting 3=-5.
-------------
Put the 1st one in slope-intercept form
-5x+3y=-5
3y = 5x - 5
y = (5/3)x - 5/3
----
Both slopes are 5/3 --> parallel lines, no intersection, inconsistent system.
No solution.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

......eq.1
......eq.2
___________________________substitute from eq.2 in eq.1
......eq.1....solve for




.......no solution exist, lines have no intersection point
if you write both eq. in slope-intercept form where and , you will have
......eq.1
......eq.2
as you can see, slopes are same, both lines have and it means lines are parallel


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