Question

the solution of the equation x+y=14 and x-y=4 is​

Answer 1

$\huge\underline{ \underline{ \bf{ { \blue{ so{ \pink{lu{ \purple{tion \: : = }}}}} }}}} </p><p>$

$x \: \: \: \: + \: \: \: y \: \: = 14.....1 \\ x \: \: \: \: - \: \: \: y \: \: \: = - 4$

_______________________

$2x \: \: \: \: \: \: \: = \: \: 10 \\ x \: \: \: \: \: \: = \: \: \frac{10}{2} \\ \\ x \: \: \: \: = \: \: 5$

substituting value of x in equation 1.

5. + y = 14

Y = 14-5

y = 9

Answer 2

Given : -

the solution of the equation x+y=14 and x-y=4

To find : -

Find the value of x and y

Solution : -

Solve this question by elimination method

• x + y = 14 ---(i)
• x - y = 4 ---(ii)

Adding both the equation

=> (x + y) + (x - y) = 14 + 4

=> x + y + x - y = 18

=> 2x = 18

=> x = 18/2 = 9

By substitution method

substitute the value of x in equation (ii)

=> x - y = 4

=> 9 - y = 4

=> 9 - 4 = y

=> y = 5

$\large{\boxed{\bf{Required\:value\:of\:x=9}}}$

$\large{\boxed{\bf{Required\:value\:of\:y=5}}}$

Verification : -

Putting the value of x and y in both the equation

• x + y = 14

LHS

=> x + y

=> 9 + 5 = 14 = RHS verified

• x - y = 4

LHS

=> x - y

=> 9 - 5 = 4 = RHS verified

Hence , both the equation verified