Question

Решите уравнение с проверкой!17n-11n-2n=51123a-8a-13a=33

Answer 1

4n=511
n=511:4
n=127,75
проверка
17*127,75-11*127,75-2*127,75=2171,75-1405,25-255,5=511

2а=33
а=16,5
проверка
23*16,5-8*16,5-13*16,5=379,5-132-214,5=33

Answer 2

17п-11п-2п=511
4п=511
п=511:4
п=127,75
проверка
4*127,75=511
23а-8а-13а=33
2а=33
а=33:2
а=16,5

проверка:2*16,5=33

Answer 3

Solving the equation 17n - 11n - 2n = 51

To solve the equation 17n - 11n - 2n = 51, we need to combine like terms and isolate the variable n.

First, let's combine the like terms on the left side of the equation: 17n - 11n - 2n = 51 (17 - 11 - 2)n = 51 4n = 51

Next, we can isolate the variable n by dividing both sides of the equation by 4: 4n/4 = 51/4 n = 51/4

To find the exact value of n, we can simplify the fraction 51/4: n = 12.75

Now, let's check our solution by substituting n = 12.75 back into the original equation: 17(12.75) - 11(12.75) - 2(12.75) = 51 216.75 - 140.25 - 25.5 = 51 51 = 51

The left side of the equation equals the right side, so our solution n = 12.75 is correct.

Solving the equation 123a - 8a - 13a = 33

To solve the equation 123a - 8a - 13a = 33, we follow a similar process as before.

First, let's combine the like terms on the left side of the equation: 123a - 8a - 13a = 33 (123 - 8 - 13)a = 33 102a = 33

Next, we can isolate the variable a by dividing both sides of the equation by 102: 102a/102 = 33/102 a = 33/102

To find the exact value of a, we can simplify the fraction 33/102: a = 0.3235294117647059

Now, let's check our solution by substituting a = 0.3235294117647059 back into the original equation: 123(0.3235294117647059) - 8(0.3235294117647059) - 13(0.3235294117647059) = 33 39.70588235294118 - 2.588235294117647 - 4.205882352941177 = 33 33 = 33

The left side of the equation equals the right side, so our solution a = 0.3235294117647059 is correct.

Therefore, the solutions to the given equations are: n = 12.75 a = 0.3235294117647059