Question

Solve the pair of simultaneous equation:
2x+y=4
3x - y=6

Answer 1

Answer:

As it is a simultaneous equation.

Therefore;

Step-by-step explanation:

2x+y=4 ]×3

3x-y=6 ]×2

After multiplying,we get

6x+3y=12

6x-2y=12

after solving;we get

5y=0

So y =0

After putting value of y in equation,we

get

6x+3y=12

6x=12

x=2

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Answer 2

$2x + y = 4 \: \: \: - - - (1) \\ 3x - y = 6 \: \: \: - - - (2)$

Now,

$From \: \: equation \: \: (1), \: we \: \: get, \\ \: \: \: \: \: \: \: \: \: y = 4 - 2x \: \: \: \: \: \: \: \: - - - (3)$

On putting the value of y i.e Equation (3) in equation (2), we get,

$3x - (4 - 2x) = 6 \\ 3x - 4 + 2x = 6 \\ 5x = 6 + 4 \\ 5x = 10 \\ x = \frac{10}{5} = 2$

Now,

Putting value of x on equation (3), we get,

$y = 4 - 2x \\ \: \: \: = 4 - 2(2) \\ \: \: \: = 4 - 4 = 0$

${ \text {\huge{Hence, }}}$

${ \boxed{ \boxed{ \red{Value \: \: of \: \: x = 2}}}} \\ \\ </p><p>{ \boxed{ \boxed{ \red{Value \: \: of \: \: y = 0}}}}$