Question 458769
1. Find the intersection point of the two straight lines: 
3x - 4y = 5 and 2x + 3y = 1. 
Answer in fractions reduced to the lowest terms. 
:
3x - 4y = 5
2x + 3y = 1
:
multiply the 1st eq by 3, multiply the 2nd eq by 4, resulting in:
9x - 12y = 15
8x + 12y = 4
--------------- adding eliminates y, find x
17x = 19
x = {{{19/17}}}
:
Find x, multiply the 1st eq by 2, the 2nd equation by 3, results
6x - 8y = 10
6x + 9y = 3
------------------Subtraction eliminates x, find y
-17y = 7
y = {{{-7/17}}}