Solve the following equations and
answers:
11. 6x + 2 = 2x + 10
12. 7x + 13 = 4x + 43
13. 9x +3= 4x + 28
14. 2y + 7 = 3y + 4
15. 6y - 5 = 2y + 11
16. 4y + 3 = y + 12
Answers
Questions:-
11. 6x + 2 = 2x + 10
12. 7x + 13 = 4x + 43
13. 9x +3= 4x + 28
14. 2y + 7 = 3y + 4
15. 6y - 5 = 2y + 11
16. 4y + 3 = y + 12
Answers:-
11.
⇒ 6x + 2 = 2x + 10
- Collect like terms.
⇒6x - 2x = 10 - 2
⇒4x = 8
⇒x = 8/4
⇒x = 2
Verification:-
⇒6x + 2 = 2x + 10
- Put x = 2
⇒ 6×(2) + 2 = 2×(2)+ 10
⇒12 + 2 = 4 + 10
⇒14 = 14
Hence, Verified.
Thus , Value of x is 2.
__________________________
12.
⇒ 7x + 13 = 4x + 43
- Collect like terms.
⇒7x - 4x = 43 - 13
⇒3x = 30
⇒x = 30/3
⇒x = 10
Verification:
⇒7x + 13 = 4x + 43
- Put x = 10
⇒ 7×(10) + 13 = 4×(10) + 43
⇒70 + 13 = 40 + 43
⇒83 = 83
Hence, Verified.
Thus , Value of x is 10.
__________________________
13.
⇒9x + 3 = 4x + 28
- Collect like terms
⇒9x - 4x = 28 - 3
⇒5x = 25
⇒x = 25/5
⇒x = 5
Verification:
⇒9x + 3 = 4x + 28
- Put x = 5
⇒9×(5) + 3 = 4×(5) + 28
⇒45 + 3 = 20 + 28
⇒48 = 48
Hence, verified.
Thus, Value of x is 5
__________________________
14.
⇒2y + 7 = 3y + 4
- Collect like terms.
⇒2y - 3y = 4 - 7
⇒-y = -3
- Minus sign will get cut from both side then,
⇒y = 3
Verification:-
⇒2y + 7 = 3y + 4
- Put y = 3
⇒2×(3) + 7 = 3×(3) + 4
⇒6 + 7 = 9 + 4
⇒13 = 13
Hence, verified.
Thus, Value of y is 3.
__________________________
15.
⇒6y - 5 = 2y + 11
- Collect like terms.
⇒6y - 2y = 11 + 5
⇒4y = 16
⇒y = 16/4
⇒y = 4
Verification:
⇒6y - 5 = 2y + 11
- Put x = 4
⇒6×(4) - 5 = 2×(4) + 11
⇒24 - 5 = 8 + 11
⇒19 = 19
Hence, Verified.
Thus, Value of y is 4.
__________________________
16.
⇒4y + 3 = y + 12
- Collect like terms.
⇒4y - y = 12 - 3
⇒3y = 9
⇒y = 9/3
⇒y = 3
Verification:
⇒4y + 3 = y + 12
- Put y = 3
⇒4 × (3) + 3 = (3) + 12
⇒12 + 3 = 15
⇒15 = 15
Hence, Verified.