rs aggarwal ex 8 question 4
Answers
Answer:
HEY BUDDY HOPE IT HELPS YOU
Step-by-step explanation:
RS AGGARWAL
QUESTION 1:
Solution:
8x + 3 = 27 + 2x
=> 8x – 2x
=> 27 – 3
=> 6x = 24
=> x = 24 / 6 = 4
=> x = 4
QUESTION 2:
Solution:
5x + 7 = 2x – 8
=> 5x – 2x = – 8 – 7
=> 3x = – 15
=> x = −15 / 3 = – 5
=> x = – 5
QUESTION 3:
Solution:
2z – 1 = 14 – z
=> 2z + z = 14 + 1
=> 3z = 15
=> z = 15 / 3 = 5
=> z = 5
QUESTION 4:
Solution:
9x + 5 = 4(x – 2) +8
=> 9x + 5 = 4x – 8 + 8
=> 9x – 4x = – 8 + 8 – 5
=> 5x = – 5
=> x = −5 / 5 = – 1
=> x = – 1
QUESTION 5:
Solution:
7y / 5 = y – 4
Multiplying both sides by 5,
7y / 5 x 5 = 5(y – 4)
=> 5 (y-4)
=> 7y = 5y – 20
=> 7y – 5y = – 20
=> 2y = – 20
=> y = −20 / 2 = – 10
=> y = – 10
QUESTION 6:
Solution:
3x + 2 / 3 = 2x + 1
=> 3x – 2x = 1 – 2 / 3
=> x = (3 − 2) / 3 = 13
=> x = 1 / 3
QUESTION 7:
Solution:
15(y – 4) – 2(y – 9) + 5(y + 6) = 0
15y – 60 – 2y + 18 + 5y + 30 = 0
=> 15y – 2y + 5y = 60 – 18 – 30
=> 18y = 12
=> y = 12 / 18 = 2 / 3
=> y = 2 / 3
QUESTION 8:
Solution:
3(5x – 7) – 2(9x – 11) = 4(8x – 13) – 17
=> 15x – 21 – 18x + 22 = 32x – 52 – 17
=> 15x – 18x – 32x = – 52 – 17 + 21 – 22
=> 15x – 50x = – 70
=> – 35x = – 70
=> x = −70 / −35 = 2
=> x = 2
Answer:
HEY BUDDY HOPE IT HELPS YOU
Step-by-step explanation:
RS AGGARWAL
QUESTION 1:
Solution:
8x + 3 = 27 + 2x
=> 8x – 2x
=> 27 – 3
=> 6x = 24
=> x = 24 / 6 = 4
=> x = 4
QUESTION 2:
Solution:
5x + 7 = 2x – 8
=> 5x – 2x = – 8 – 7
=> 3x = – 15
=> x = −15 / 3 = – 5
=> x = – 5
QUESTION 3:
Solution:
2z – 1 = 14 – z
=> 2z + z = 14 + 1
=> 3z = 15
=> z = 15 / 3 = 5
=> z = 5
QUESTION 4:
Solution:
9x + 5 = 4(x – 2) +8
=> 9x + 5 = 4x – 8 + 8
=> 9x – 4x = – 8 + 8 – 5
=> 5x = – 5
=> x = −5 / 5 = – 1
=> x = – 1
QUESTION 5:
Solution:
7y / 5 = y – 4
Multiplying both sides by 5,
7y / 5 x 5 = 5(y – 4)
=> 5 (y-4)
=> 7y = 5y – 20
=> 7y – 5y = – 20
=> 2y = – 20
=> y = −20 / 2 = – 10
=> y = – 10
QUESTION 6:
Solution:
3x + 2 / 3 = 2x + 1
=> 3x – 2x = 1 – 2 / 3
=> x = (3 − 2) / 3 = 13
=> x = 1 / 3
QUESTION 7:
Solution:
15(y – 4) – 2(y – 9) + 5(y + 6) = 0
15y – 60 – 2y + 18 + 5y + 30 = 0
=> 15y – 2y + 5y = 60 – 18 – 30
=> 18y = 12
=> y = 12 / 18 = 2 / 3
=> y = 2 / 3
QUESTION 8:
Solution:
3(5x – 7) – 2(9x – 11) = 4(8x – 13) – 17
=> 15x – 21 – 18x + 22 = 32x – 52 – 17
=> 15x – 18x – 32x = – 52 – 17 + 21 – 22
=> 15x – 50x = – 70
=> – 35x = – 70
=> x = −70 / −35 = 2
=> x = 2