Question

3x-3y=11
x+y=5
Elimination method

Answer 1

The final value of x and y is 13/3 and 2/3.

Step-by-step explanation:

$\ Given \ value:\\\\3x- 3y =11\\\\x+y=5\\\\\ Find:\\\\x \ and \ y = ?\\\\\ Solution:\\\\3x- 3y =11........(i)\\\\x+y=5.........(ii)\\\\\ In \ the \ equation \ (ii) \ we \ multiply \ by \ 3 \ and \ then \ add \ from \ euqtaion \ (i) \\\\ 3x+3y = 15 \\3x-3y=11\\\ add \\\\\rightarrow 6x= 26\\\\\rightarrow x= \frac{26}{6}\\\\\rightarrow x= \frac{13}{3}\\\\\ put \ the \ value \ x \ in \ equation \ (i) \\\\\ equation:\\\\3x- 3y =11\\\\3(\frac{13}{3})- 3y =11\\\\13 -3y=11\\\\13-11=3y$

$2 = 3y \\\\3y= 2\\\\y= \frac{2}{3}$

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