Question

By substitution method .2x + 3y =12
X-y=1​

Answer 1

Answer:

x-y=1

2x+3y=12

Step-by-step explanation:

x=y+1

now put the value of x in ist equation

2y+2+3y=12

5y=12-2

5y=10

y=2

and

x=2+1=3

...

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Answer 2

Answer:-

➣

$\bf{x = 3}$

$\bf{y = 2}$

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• Given:-

$2x + 3y = 12$ $\: \: \: \: \longrightarrow{\bf{eqn.1}}$

$x - y = 1$ $\: \: \: \: \longrightarrow{\bf{eqn.2}}$

• To Find:-

Value of:

$x =\bf{?}$

$y =\bf{?}$

• Method:-

$Substitution \: Method$

• Solution:-

$x - y = 1$

$\implies{x = 1 + y}$

Putting this value of $\bf{x}$ in $\bf{eqn.1}$:-

We have,

$\implies{2(1+y) + 3y = 12}$

$\implies{2 + 2y + 3y = 12}$

$\implies{2 + 5y = 12}$

$\implies{5y = 12 - 2}$

$\implies{5y = 10}$

$\implies{y = \dfrac{10}{5}}$

$\implies{y = \cancel{\dfrac{10}{5}}}$

$\implies \bf{y = 2}$

Putting $\bf{y = 2 }$ in $\bf{eqn.2}$:-

We have,

$\implies x - 2 = 1$

$\implies x = 2 + 1$

$\implies \bf{x = 3}$

$\large\therefore$ Therefore,

• $\bf{x=3}$

• $\bf{y=2}$

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