Question

Q.12 Solve the following pair of linear equations
x + y = 14 and x - y = 4.​

Answer 1

$\bf\tt{\underline{Question:-}}$

• Solve the following pair of linear equations x + y = 14 and x - y = 4.

$\bf\tt{\underline{Given:-}}$

• x + y = 14 --- equ(¡)
• x - y = 4 ---equ(¡¡)

$\bf\tt{\underline{Solution:-}}$

$\sf :→ x + y = 14$

$\sf :→ x = 14 - y$

$\bf\tt{\underline{Now\: substituting\:value\:of\:X\:in\:equ(¡¡):-}}$

$\sf :→ x - y = 4$

$\sf :→ 14 - y - y = 4$

$\sf :→ 14 - 2y = 4$

$\sf :→ -2y = 4 - 14$

$\sf :→ -2y = -10$

$\sf :→ y = 10/5$

$\sf :→ y = 5$

$\bf\tt{\underline{Again\: substituting\:value\:of\:y\:in\:equ(¡):-}}$

$\sf : → x - y = 4$

$\sf :→ x -5 = 4$

$\sf :→ x = 4+5$

$\sf :→ x = 9$

$\bf\tt{\underline{Hence:-}}$

• The required value of x is 9 and y is 5

Answer 2

✔ GIVEN :-

• x + y = 14.
• x - y = 4.

✔ TO FIND :-

• The Value Of X And Y.

✔ SOLUTION :-

x + y = 14.

We can say that,

⇛ x = 14 - y.

So, We Can Put in Equation [2].

So, The Equation Formed :-

14 - y - y = 4.

⇛ 14 - 2y = 4.

⇛ -2y = 4 - 14.

⇛ -2y = -10.

⇛ y = 10/2.

⇛ y = 5.

Now, Calculating X.

⇛ x + y = 14.

⇛ x + 5 = 14.

⇛ x = 9.

Hence, The Value Of :-

• x = 9.
• y = 5.