Answer:
1.s = 11
2. i = 48
3. y = 9
4. p = 21
5. 56 = x
6. b = -111/6
Step-by-step explanation:
1. s/22 = 13/26
=> s/22 = 1/2
=> s = 22/2
=> s = 11
_____________________
2. 15/16 = 45/i
=> i = 45× 16/15
=> i = 3×16
=> i = 48
3. y-5/y+3 = 2/6
=> 6 (y-5) = 2(y+3)
=> 6y-30 = 2y+6
=> 6y-2y = 6+30
=> 4y = 36
=> y = 36/4
=> y = 9
4. 2p-6/4 = 2p+3/5
=> 5(2p-6) = 4(2p+3)
=> 10p-30 = 8p+12
=> 10p-8p = 12+30
=> 2p = 42
=> p = 42/2
=> p = 21
5. 4/x = 1/14
=> 4×14 = x
=> x = 56
6. 4b+5/5b-11 = 6/9
=> 9(4b+5) = 6(5b-11)
=> 36b+45 = 30b-66
=> 36b-30b = -66-45
=> 6b = -111
=> b = -111/6
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Answers & Comments
Answer:
1.s = 11
2. i = 48
3. y = 9
4. p = 21
5. 56 = x
6. b = -111/6
Step-by-step explanation:
1. s/22 = 13/26
=> s/22 = 1/2
=> s = 22/2
=> s = 11
_____________________
2. 15/16 = 45/i
=> i = 45× 16/15
=> i = 3×16
=> i = 48
_____________________
3. y-5/y+3 = 2/6
=> 6 (y-5) = 2(y+3)
=> 6y-30 = 2y+6
=> 6y-2y = 6+30
=> 4y = 36
=> y = 36/4
=> y = 9
_____________________
4. 2p-6/4 = 2p+3/5
=> 5(2p-6) = 4(2p+3)
=> 10p-30 = 8p+12
=> 10p-8p = 12+30
=> 2p = 42
=> p = 42/2
=> p = 21
_____________________
5. 4/x = 1/14
=> 4×14 = x
=> x = 56
_____________________
6. 4b+5/5b-11 = 6/9
=> 9(4b+5) = 6(5b-11)
=> 36b+45 = 30b-66
=> 36b-30b = -66-45
=> 6b = -111
=> b = -111/6