Math, asked by aryasawant14, 2 months ago

find x if 5x - 15=3x + 6​

Answers

Answered by rahangdaleraj60
1

Answer:

5x=15

x=15/5

x=3

i hope help this you study

Answered by mayajakhar79
5

Solution:-

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⇢ Here we are given an equation that is 5x - 15 = 3x + 6. Now, the question has asked us to solve the equation and find the value of x after that we have to verify the answer also. So, for solving the equation follow the method given below.

ANSWER:-

Value of x is 10.5.

GIVEN:-

➮ Equation = 5x - 15 = 3x + 6

TO FIND:-

⇒ Value of x = ?

HOW TO DO:-

⇨ Take constant terms to R.H.S.

⇨ Separate the constant terms from the variable.

⇨ Take the separated term to R.H.S.

⇨ Solve further.

SOLVING STEP BY STEP:-

⇾ 5x - 15 = 3x + 6

⇾ Transposing -15 to R.H.S (Sign will change):- 6 + 15

⇾ Transposing 3x to R.H.S (Sign will change):- 5x - 3x

So,

⇾ 5x - 3x = 6 + 15

⇾ Adding the terms:- 6 + 15 = 21

⇾ Subtracting the terms = 5x - 3x = 2x

So,

⇾ 2x = 21

⇾ Transposing 2 to R.H.S:- 21 / 2

So,

⇾ x = 21 / 2

⇾ Dividing the terms:- 21 / 2 = 10.5

So,

⇾ x = 10.5

⇾ Final answer:- 10.5

So,

⇾ x = 10.5

Thus, we got the answer. Value of x is 10.5.

VERIFICATION:-

⇾ L.H.S

⇾ 5x - 15

⇾ 5 × 10.5 - 15 (BY BODMAS)

⇾ 5 × 10.5 = 52.5

⇾ 52.5 - 15

⇾ 52.5 - 15 = 37.5

⇾ 37.5

R.H.S

⇾ 3x + 6

⇾ 3 × 10.5 + 6 (BY BODMAS)

⇾ 3 × 10.5 = 31.5

⇾ 31.5 + 6

⇾ 31.5 + 6 = 37.5

⇾ 37.5

37.5 = 37.5

∴ L.H.S = R.H.S

Hence, Verified.

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