Question

Find x & y where, x- y = 5; 2x + 3y = 10​

Answer 1

Question :-

Find X & y where,

x - y = 5

2x + 3y = 10

Answer :-

Given :-

x - y = 5

2x + 3y = 10

Required to find :-

• values of " x " and " y "

Method used :-

♦ Elimination method

Solution :-

Given :-

x - y = 5

2x + 3y = 10

He asked us to find the value of " x " and " y " .

So,

Given are linear equations in 2 variables .

so,

We have to solve this equations simultaneously .

Here, method which is being used is Elimnation Method .

Hence,

Let's consider ;

x - y = 5 $\red{\longrightarrow{\tt{equation \; 1 }}}$

2x + 3y = 10 $\red{\longrightarrow{\tt{ equation \; 2 }}}$

Now,

Multiply equation 1 with 2

So,

2 ( x - y ) = 2 ( 5 )

2x - 2y = 10 $\red{\longrightarrow{\tt{ equation \; 3 }}}$

consider this as equation 3

Hence,

Subtraction equation 3 from equation 2

So,

2x + 3y = 10

2x - 2y = 10

(-) (+) (-)

--------------------

0 + y = 0

--------------------

Hence,

Value of y is 0

Now substitute this value of y in equation 1 to find the value of x .

So,

➾ x - y = 5

➾ x - 0 = 5

➾ x = 5

$\large{\leadsto{\underline{\boxed{\tt{ Value \; of \; x \; and \; y = 5 and 0 }}}}}{\huge{\green{\bigstar}}}$

Verification :-

Substitute the values of x and y in equation 2 .

Hence,

2x + 3y = 10

L.H.S. = 2x + 3y

2(5) + 3(0)

10 + 0

10

Similarly,

R.H.S. = 10

So,

L.H.S. = R.H.S.

Hence verified .

Answer 2

Answer:

x=5 and y=0

Step-by-step explanation:

check the attachment please .

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