Question

Frame linear equation in two variables: A two digit number is 3 more than six times the sum of its digits
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Answer 1

Step-by-step explanation:

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Let the tens and the units digits in the number be x and y, respectively.

So, the number may be written as 10x+y.

According to the given condition.

10x+y=6(x+y)+3⇒4x−5y=3 .....(i)

If we interchange the digits of Original number then we get new number. i.e 10y+x

According to the given condition

10y+x+18=10x+y

⇒9x−9y=18⇒x−y=2 .....(ii)

Now multiplying equation (ii) by 4. we get,

4x−4y=8 ....(iii)

On subtracting (iii) from (i). we get,

4x−5y−(4x−4y)=3−8

∴y=5

On substituting y=5 in (ii). we get,

x−5=2⇒x=7

∴ number is 10x+y=10(7)+5=75

NOW PLEASE FOLLOW ME...

Answer 2

Step-by-step explanation:

5x+4y=-3

5x-4y=-3

5x-4y=3

5x+4y=+3