Answer:
The solution to the equation is as follows;
[tex]x = \frac{5}{19} ,\ and \ y= \frac{2}{19}[/tex]
Step-by-step explanation:
Given;
5x - 3y = 1
3x + 2y = 1
Solving both equation simultaneously;
2: 10x - 6y = 2
3: 9x + 6y = 3
--------------------------
19x + 0 = 5
x = 5/19
substitute the value of x in any of the equations above and solve for y;
5x - 3y = 1
5 (5/19) - 3y = 1
25/19 -3y = 1
[tex]3y = \frac{25}{19} -1\\\\3y = \frac{25-19}{19} \\\\3y = \frac{6}{19} \\\\y = \frac{2}{19}[/tex]
