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tamilakenesova23
@tamilakenesova23
August 2022
1
15
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5/21(7-3x)-4/35(5x+7)=12/15-2/7
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prettypushkova
Verified answer
5/21 * (7 - 3х) - 4/35 * (5х + 7) = 12/15 - 2/7
5/3 - 5/7х - 4/7х - 4/5 = 28/35 - 10/35
25/15 - 12/15 - 9/7х = 18/35
13/15 - 9/7х = 18/35
9/7х = 13/15 - 18/35
9/7х = 91/105 - 54/105
9/7х = 37/105
х = 37/105 : 9/7 = 37/105 * 7/9 = (37*1)/(15*9)
х = 37/135
Пояснения:
5/21 * 7 = 35/21 = 5/3 - сократили на 7
5/21 * 3 = 15/21 = 5/7 -сократили на 3
4/35 * 5 = 20/35 = 4/7 - сократили на 5
4/35 * 7 = 28/35 = 4/5 - сократили на 7
12/15 = 4/5 = 28/35 - сократили на 3 и умножили на 7/7
2/7 = 10/35 - доп.множ. 5
5/3 = 25/15 - доп.множ. 5
4/5 = 12/15 - доп.множ. 3
13/15 = 91/105 - доп.множ. 7
18/35 = 54/105 - доп.множ. 3
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Answers & Comments
Verified answer
5/21 * (7 - 3х) - 4/35 * (5х + 7) = 12/15 - 2/75/3 - 5/7х - 4/7х - 4/5 = 28/35 - 10/35
25/15 - 12/15 - 9/7х = 18/35
13/15 - 9/7х = 18/35
9/7х = 13/15 - 18/35
9/7х = 91/105 - 54/105
9/7х = 37/105
х = 37/105 : 9/7 = 37/105 * 7/9 = (37*1)/(15*9)
х = 37/135
Пояснения:
5/21 * 7 = 35/21 = 5/3 - сократили на 7
5/21 * 3 = 15/21 = 5/7 -сократили на 3
4/35 * 5 = 20/35 = 4/7 - сократили на 5
4/35 * 7 = 28/35 = 4/5 - сократили на 7
12/15 = 4/5 = 28/35 - сократили на 3 и умножили на 7/7
2/7 = 10/35 - доп.множ. 5
5/3 = 25/15 - доп.множ. 5
4/5 = 12/15 - доп.множ. 3
13/15 = 91/105 - доп.множ. 7
18/35 = 54/105 - доп.множ. 3