Advertisements
Advertisements
Question
Solve the following equation: 2(z - 5) +3 (z + 2) - (3 - 5z) =10
Advertisements
Solution
2(z - 5) +3 (z + 2) - (3 - 5z) =10
⇒ 2z - 10 + 3z + 6 - 3 + 5z = 10
⇒ 10z - 7 = 10
⇒ 10z - 7 + 7 = 10 + 7 ...(Adding 7 to both sides)
⇒ 10z = 17
⇒ `"10z"/10 = 17/10` ..(Dividing by 7)
⇒ z = `17/10 = 1 7/10`
APPEARS IN
RELATED QUESTIONS
A number is increased by 12 and the new number obtained is multiplied by 5. If the resulting number is 95, find the original number.
The age of a man is 27 years more than the age of his son. If the sum of their ages is 47 years, find the age of the son and his father.
When two consecutive natural numbers are added, the sum is 31; find the numbers.
The difference between two numbers is 15. Taking the smaller number as x; find:
(i) the expression for the larger number.
(ii) the larger number, if the sum of these numbers is 71.
Find three consecutive integers such that their sum is 78.
Solve the following equation: `"y"/3 + 7 = 2`
Solve the following equation: 5 = x - 3
Solve the following equation: `"y"/1.8` - 2.1 = - 2.8
Solve the following equation: 3z – 18 = z – (12 - 4z)
Solve the following equation: `3 2/5 - "y" = 2 1/2`
