Question

Solve x+y=7 ; x-y=3 by elimination method

plzz answer me fast plzzz​

Answer 1

$\gray{ \underbrace{ \textbf{ \textsf{\red{Question : }}}}}$

Solve x + y = 7 ; x - y = 3 by elimination method.

$\gray{ \underbrace{ \textbf{ \textsf{Assuming : }}}} \\ \bf \longmapsto x + y = 7......(i) \\ \bf \longmapsto x - y = 3.....(ii)$

Substraction of both the equation as follows :

$\bf{ \cancel x + y = 7} \\ { \underline{\bf{ - \cancel {x} + y = - 3}}} \\ \implies\bf{2y = 4} \\ \implies \bf \: y = { \cancel{ \frac{4}{2} }} \\ \bf \therefore {\underline{ \boxed{ \bf y = 2}}}$

After solving the equation we get :

y = 2.....ans.

Substituting the value of y in the equation (i) :

➠ x + y = 7

➠ x + 2 = 7

➠ x = 7 - 2

➠ x = 5 .... ans.

$\gray{ \underbrace{ \textbf{ \textsf{\green{Required \: answer : }}}}} \\ { \underline{ \boxed{\bf \: x = 5 \: and \: y = 2}}}$