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5x-3y=1,3x+2y=1 solve the simultaneous equation above

Sagot :

onyebuchinnaji

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]

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