Question

x+2y=3/2 and 2x+y=3/2 by elimination method

Answer 1

x= 3/4
y=3/4
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Answer 2

Answer:

Value of $x=\frac{1}{2}\:\:and\:\:y=\frac{1}{2}$

Step-by-step explanation:

System of Equation is

$x+2y=\frac{3}{2}$  and    $2x+y=\frac{3}{2}$

To find: value of x & y by elimination method

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

2x + 4y = 3 ............ (1)

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

4x + 2y = 3 ............ (2)

Do this to eliminate x,  2 × eqn (1) - eqn (2)

4x + 8y - ( 4x + 2y ) = 6 - 3

8y - 2y = 3

6y = 3

$y=\frac{3}{6}$

$y=\frac{1`}{2}$

Do this to eliminate y,  2 × eqn (2) - eqn (1)

8x + 4y - ( 2x + 4y ) = 6 - 3

8x - 2x = 3

6x = 3

$x=\frac{3}{6}$

$x=\frac{1`}{2}$

Therefore, Value of $x=\frac{1}{2}\:\:and\:\:y=\frac{1}{2}$