Answered

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7x+1=10x-9 what does x equal

Sagot :

chetankachana

Answer:

x = 10/3

Step-by-step explanation:

Solve:

  • 7x + 1 = 10x - 9      
  • 1 = 3x - 9                  Isolate x
  • 10 = 3x                     Isolate x
  • x = 10/3                    

x = [tex]\boxed{\frac{10}{3}}[/tex]

-Chetan K

SalmonWorldTopper

Step-by-step explanation:

Given equation is 7x + 1 = 10x - 9

Shift all variables on LHS and Constants on RHS, changing it's sign.

→ 7x + 10x = -9 - 1

Subtract the values on LHS and RHS.

→ -3x = -10

Shift the number -3 from LHS to RHS.

→ x = -10/-3

Therefore, x = 10/3

Answer: Hence, the value of x for the given equation is 10/3.

Verification:

Check whether the value of x is true or false:

If x = 10/3 then the equation is

7x + 1 = 10x - 9

Substitute x = 10/3 in equation then

→ 7(10/3) + 1 = 10(10/3) - 9

→ (70/3) + 1 = (100/3) - 9

→ (70/3) + (1/1) = (100/3) - (9/1)

Take the LCM of the denominator on both LHS and RHS.

LCM of 1 and 3 is 3.

LCM of 1 and 3 is 3.

Now,

→(70 + 1*3)/3 = (100 - 9*3)/3

→ (70 + 3)/3 = (100 - 27)/3

→ 73/3 = 73/3

LHS = RHS

Hence, verified.

Please let me know if you have any other questions.

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