Question

On solving the following for if
Linear equation. 2x-y=2 & 5x + 2y
= 14 by subsitution method value
of x and y are and​

Answer 1

Answer:

Socratic app

Step-by-step explanation:

It will help you

Answer 2

S O L U T I O N :

We have two linear equation :

• 2x - y = 2............(1)
• 5x + 2y = 14.......(2)

$\underline{\underline{\tt{According\:to\:the\:question\::}}}$

From equation (1),we get;

$\mapsto\tt{2x - y = 2}$

$\mapsto\tt{2x = 2+y}$

$\mapsto\tt{x = \dfrac{2+y}{2}................(3) }$

∴ Putting the value of of x in equation (2),we get;

$\mapsto\tt{5\bigg(\dfrac{2+y}{2} \bigg) + 2y = 14}$

$\mapsto\tt{\dfrac{10+5y}{2} + 2y = 14}$

$\mapsto\tt{10+5y + 4y = 28}$

$\mapsto\tt{10+9y = 28}$

$\mapsto\tt{9y= 28-10}$

$\mapsto\tt{9y= 18}$

$\mapsto\tt{y= \cancel{18/9}}$

$\mapsto\bf{y = 2}$

∴ Putting the value of of y in equation (3),we get;

$\mapsto\tt{x = \dfrac{2+2}{2}}$

$\mapsto\tt{x = \cancel{\dfrac{4}{2}}}$

$\mapsto\bf{x = 2}$

Thus;

The value of x & y will be 2 & 2 .