Question

Solve x/2+2y/3 = -1. x - y/3 = 3 by elimination method

Answer 1

The final value of x and y is 2 and -3.

Step-by-step explanation:

$\ Given \ value:\\\\ \frac{x}{2}+\frac{2y}{3} = -1 \\\\x-\frac{y}{3}=3\\\\\ Find:\\\\x \ and \ y = ?\\\\\ Solution:\\\\ \frac{x}{2}+\frac{2y}{3} = -1......(i) \\\\x-\frac{y}{3}=3......(ii) \\\\\ Solve \ equation (i)\\\\\frac{x}{2}+\frac{2y}{3} = -1\\\\\frac{3x+4y}{6}= -1 \\\\3x+4y= -6 ......(a) \\\\\ Solve \ equation (ii)\\\\x-\frac{y}{3}=3\\\\\frac{3x-y}{3}=3\\\\3x-y=9..........(b)\\\\\ subtract \ equation\ (a) \ from \ (b) \\\\3x+4y= -6 ......(a) \\3x-y=9..........(b)\\\ subtract$

$5y= -15\\\\y= \frac{-15}{5}\\\\y = -3\\\\\ put \ value \ of \ y \ in \ equation \ (a) \\\\\ Equation:\\\\3x+4y= -6\\\\3x+ 4(-3) = -6 \\\\3x-12=-6\\\\3x=-6+12 \\\\3x= 6\\\\x= \frac{6}{3}\\\\x= 2$

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