Решите уравнение: а) (3х+5х)*18=144 б) (7у-3у):8=17 в) (6а+а):13=14 г) 48:(9b-b)=2 Помогите!!!!
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Ответ:
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Ответ:а) (3х+5х)*18=144
8х=8
х=1
б) (7у-3у):8=17
4у=136
у=34
в) (6а+а):13=14
7а=182
а=26
г) 48:(9b-b)=2
8b=24
b=3
Пошаговое объяснение:
Solution to the Equations:
а) Let's solve the equation: (3х + 5х) * 18 = 144
To solve this equation, we need to simplify the expression on the left side and then solve for x.
First, let's simplify the expression: (3х + 5х) * 18 = 144 Combining like terms, we get: 8х * 18 = 144 Multiplying 8 and 18, we have: 144х = 144 Now, we can solve for x by dividing both sides of the equation by 144: x = 1
Therefore, the solution to the equation (3х + 5х) * 18 = 144 is x = 1.
б) Now, let's solve the equation: (7у - 3у) / 8 = 17
To solve this equation, we need to simplify the expression on the left side and then solve for у.
First, let's simplify the expression: (7у - 3у) / 8 = 17 Combining like terms, we get: 4у / 8 = 17 Simplifying further, we have: у / 2 = 17 To isolate у, we multiply both sides of the equation by 2: у = 34
Therefore, the solution to the equation (7у - 3у) / 8 = 17 is у = 34.
в) Let's solve the equation: (6а + а) / 13 = 14
To solve this equation, we need to simplify the expression on the left side and then solve for а.
First, let's simplify the expression: (6а + а) / 13 = 14 Combining like terms, we get: 7а / 13 = 14 To isolate а, we multiply both sides of the equation by 13: 7а = 14 * 13 Simplifying further, we have: 7а = 182 Now, we can solve for а by dividing both sides of the equation by 7: а = 26
Therefore, the solution to the equation (6а + а) / 13 = 14 is а = 26.
г) Finally, let's solve the equation: 48 / (9b - b) = 2
To solve this equation, we need to simplify the expression on the left side and then solve for b.
First, let's simplify the expression: 48 / (9b - b) = 2 Combining like terms, we get: 48 / 8b = 2 Simplifying further, we have: 6 / b = 2 To isolate b, we multiply both sides of the equation by b: 6 = 2b Now, we can solve for b by dividing both sides of the equation by 2: b = 3
Therefore, the solution to the equation 48 / (9b - b) = 2 is b = 3.
I hope this helps! Let me know if you have any further questions.
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