Question

Solve the pair of linear equation
2x+ y = 10 and x - y = 12.​

Answer 1

Answer:

x = 22/3, y = -14/3

Step-by-step explanation:

2x + y = 10 and x - y = 12.

Adding both the equations

3x = 22

x = 22/3

as,

x - y = 12

y = x - 12

y = (22/3)-12

y = -14/3

Hope this answer helped you

Answer 2

☯GIVEN :

• $\bf{2x +y = 10}$ and $\bf{x-y = 12}$

☯TO DO :

• Solve the pair of linear equations.

➲SOLUTION :

✞Adding both equations :

$\implies \sf(2x + y) + (x - y) = 10 + 12$

$\implies \sf2x + y + x - y = 22$

$\implies \sf2x + x + \cancel{y} - \cancel{y }= 22$

$\implies \sf2x + x = 22$

$\implies \sf 3x =22$

$\implies {\underline{\boxed{ \blue{\bf {x = \dfrac{22}{3} }}}}}$

✞Substituting the obtained value of x in the first equation :

$\implies \sf {2 \times \dfrac{22}{3} +y = 10}$

$\implies \sf \dfrac{44}{3} + y = 10$

$\implies \sf y = 10 - \dfrac{44}{3}$

$\implies \sf y = \dfrac{30 - 44}{3}$

$\implies{\underline{\boxed{ \red{ \bf {y = \dfrac{-14}{3} }}}}}$

$\huge{\green{\therefore}}$ The value of x and y is $\bf{\dfrac{22}{3}}$ and $\bf{\dfrac{-14}{3}}$ respectively.