SOLUTION: I have gone over this homework problem time and time again and cannot get the answer correct. Please show me how to do this correctly. 1. Find the intersecting point of the two

Question 404287: I have gone over this homework problem time and time again and cannot get the answer correct. Please show me how to do this correctly.
1. Find the intersecting point of the two straight lines: 2x-3y=5 and 3x+4y=1.
I converted the two equations to y=2/3x-5/3 and y=-3/4x+1/4 and found extremely large fractions for my answers. I finally came up with (1.3529,-0.7647)
2.The equation x=3 represents?
I said a verticle line because it cannot be a point on the x-axis. Is this correct?

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
1. Find the intersecting point of the two straight lines: 2x-3y=5 and 3x+4y=1.
I converted the two equations to y=2/3x-5/3 and y=-3/4x+1/4 and found extremely large fractions for my answers. I finally came up with (1.3529,-0.7647)
------------
y=2/3x-5/3
y=-3/4x+1/4
Since they equal y, the equal each other.
2/3x-5/3 = -3/4x+1/4
Multiply thru by 12
8x - 20 = -9x + 3
17x = 23
x = 23/17
----------
y = 46/51 - 5/3 = 46/51 - 85/51
y = - 13/17
------------
The same as your answers.
=========================
2.The equation x=3 represents?
I said a verticle line because it cannot be a point on the x-axis. Is this correct?
It is a "vertical" line, parallel to the y-axis. It passes thru (3,0), and thru (3,y) for any value of y.

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