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.