Question

2x+3y = 12,5x-3y=9 ans plz​

Answer 1

Answer:

Hope it helps you

Gm

Step-by-step explanation:

Answer 2

Given:-

Equation:-

2x + 3y = 12

5x - 3y = 9

To find:-

The value of x and y

Method Used:-

Substitution method.

Solution:-

$\sf{2x + 3y = 12\longrightarrow[i]}$

$\sf{5x - 3y = 9\longrightarrow}$

From equation[i]

$\sf{2x + 3y = 12}$

= $\sf{2x = 12-3y}$

= $\sf{x = \dfrac{12-3y}{2}}$

Substituting the value of x in equation[ii]

= $\sf{5x - 3y = 9}$

= $\sf{5\bigg(\dfrac{12-3y}{2}\bigg) - 3y = 9}$

= $\sf{\dfrac{60-15y}{2} - 3y = 9}$

= $\sf{\dfrac{60-15y-6y}{2} = 9}$

= $\sf{60-21y = 9\times2}$

= $\sf{-21y = 18-60}$

= $\sf{-21y = -42}$

= $\sf{y = \dfrac{-42}{-21}}$

= $\sf{y = 2}$

Now,

Putting the value of y in equation[i]

$\sf{2x + 3y = 12}$

= $\sf{2x + 3\times 2 = 12}$

= $\sf{2x + 6 = 12}$

= $\sf{2x = 12-6}$

= $\sf{2x = 6}$

= $\sf{x = \dfrac{6}{2}}$

= $\sf{x = 3}$

$\sf{\therefore x = 3\: and\: y = 2}$

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Verification:-

Let us put the value of x and y in both the equations simultaneously.

For equation[i]

= $\sf{2x + 3y = 12}$

= $\sf{2\times3 + 3\times 2 = 12}$

= $\sf{6 + 6 = 12}$

= $\sf{12 = 12}$ [Verified]

For equation[ii]

= $\sf{5x - 3y = 9}$

= $\sf{5\times 3 - 3\times 2 = 9}$

= $\sf{15 - 6 = 9}$

= $\sf{9 = 9}$ [Verified]

Hence Verified!!!!

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