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2007-02-24 07:34:02 · 3 answers · asked by swamp606887 2 in Science & Mathematics ➔ Mathematics
3/4(24-20t)+9t=2(5t+1)
3/4*24 - 3/4*20t + 9t = 2*5t + 2*1
.............3*24=72
.............72/4=18
.............3*20=60
.............60/4=15
.............2*5=10
.............2*1=2
18 - 15t + 9t = 10t + 2
Applying -2, -9t, +15t on both sides
18 - 2 -15t +15t +9t -9t = 10t -9t +15t + 2 -2
16 = 16t
Dividing both sides by 16
16/16 = 16t/16
1 = t
Check :
3/4(24-20t)+9t=2(5t+1)
3/4[24-20(1)]+9(1)=2[5(1)+1]
3/4(24-20)+9=2(5+1)
3/4(4)+9=2(6)
.............3*4=12
.............12/4=3
3+9=12
12=12
2007-02-24 08:00:33 · answer #1 · answered by Muhammad Faraz Quadri 2 · 0⤊ 0⤋
(3/4)(24 - 20t) + 9t = 2(5t + 1)
3(24 - 20t) + 36t = 8(5t + 1) {multiply both sides by 4}
72 - 60t + 36t = 40t + 8 {do distributions}
72 - 24t = 40t + 8 {combine like terms}
- 64t = - 64 {subtract 40t, 72 from both sides}
t = - 1 {divide by - 64}
Check
(3/4)(24 - 20t) + 9t = 2(5t + 1)
(3/4)(24 - 20) + 9 = 2(5 + 1)
(3/4)(4) + 9 = 2(6)
3 + 9 = 12
12 = 12
2007-02-24 07:58:14 · answer #2 · answered by kindricko 7 · 0⤊ 0⤋
18-15t+9t=10t+2
18-6t=10t+2
16=16t
t=1
2007-02-24 07:51:45 · answer #3 · answered by MaryJAyJay 2 · 0⤊ 0⤋