Question

x+ y = 16, x – y = 4 Find the Solution of the following pair of linear equations. x+ y = 16, x – y = 4 निम्नलिखित रैखिक समीकरण युग्म का हल ज्ञात कीजिए x+ y = 16, x – y = 4 *​

Answer 1

Answer:

x=10,y=6

Step-by-step explanation:

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Answer 2

SOLUTION

TO DETERMINE

The Solution of the following pair of linear equations. x+ y = 16, x – y = 4

EVALUATION

Here the given pair of linear equations are

$\sf{ x + y = 16 \: \: \: \: \: \: .......(1)\: }$

$\sf{ x - y = 4 \: \: \: \: \: \: .......(2)\: }$

Adding Equation (1) & Equation (2) we get

$\sf{ 2x = 20\: \: \: \: \: \: }$

$\displaystyle \implies \sf{ x = \frac{20}{2} \: }$

$\displaystyle \implies \sf{ x = 10 \: }$

Putting the values of x in Equation (1) we get

$\sf{ 10 + y = 16\: }$

$\implies \sf{y = 16 - 10 \: }$

$\implies \sf{y = 6 \: }$

$\displaystyle \sf{Hence \: \: x = 10 \: \: \: and \: \: y = 6 \: \: }$

VERIFICATION

Putting x = 10 & y = 6 in both sides of Equation 1 we get

$\sf{ 10 + 6 = 16\: }$

$\implies \sf{ 16 = 16\: }$

Again Putting x = 10 & y = 6 in both sides of Equation 2 we get

$\sf{ 10 - 6 = 4\: }$

$\implies \sf{4 = 4}$

Hence verified

FINAL ANSWER

The solution of the following pair is linear equations x + y = 16 , x - y = 4 is

x = 10, y = 6

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