Advertisements
Advertisements
प्रश्न
Solve:
`5x − (4x + (5x - 4)/7) = (4x - 14)/3`
Advertisements
उत्तर
`5x − (4x + (5x - 4)/7) = (4x - 14)/3`
Distribute the negative sign: `5x-4x-(5x-4)/7`
Simplify: `x- (5x-4)/7`
The LHS becomes: `x- (5x-4)/7`
`x - (5x-4)/7 = (4x-14)/3`
Multiply through by the least common denominator (LCD), which is 21, to eliminate fractions:
`21 (x- (5x-4)/7) = 21. (4x-14)/3`
Distribute 21 on both sides:
21x − 3(5x − 4) =7(4x − 14).
Simplify: 21x − 15x + 12 = 28x − 98.
Combine like terms: 6x + 12 = 28x − 98.
Bring all x-terms to one side and constants to the other: 6x − 28x = −98 − 12.
−22x = −110.
Solve for x: `x = (-110)/-22`
= 5
APPEARS IN
संबंधित प्रश्न
Fifteen less than 4 times a number is 9. Find the number.
Five less than 3 times a number is -20. Find the number.
Two consecutive natural numbers are such that one-fourth of the smaller exceeds one-fifth of the greater by 1. Find the numbers.
Solve: `"x" + 7 - "8x"/3 = "17x"/6 - "5x"/8`
Solve:
`(x + 2)/6 - ((11 - x)/3 - 1/4) = (3x - 4)/12`
Solve: `("9x" + 7)/2 - ("x" - ("x" - 2)/7) = 36`
After 12 years, I shall be 3 times as old as 1 was 4 years ago. Find my present age.
Given that x ≥ y. Fill in the blank with suitable inequality sign
x + 6 `square` y + 6
Given that x ≥ y. Fill in the blank with suitable inequality sign
– xy `square` – y2
Linear inequation has almost one solution
