1) To solve the first equation, we can start by multiplying both sides by (x+4.08) to get rid of the fraction:
38,912 * (x + 4.08) = 6.42
Expanding the left side:
38,912x + 38,912 * 4.08 = 6.42
38,912x + 158,721.856 = 6.42
Subtracting 158,721.856 from both sides:
38,912x = -158,715.436
Dividing by 38,912 to solve for x:
x = -4.08
2) For the second equation:
(х-15.7)*3.6 = 155.88
3.6x - 56.52 = 155.88
Adding 56.52 to both sides:
3.6x = 212.4
Dividing by 3.6 to solve for x:
x = 59
3) For the third equation:
53,884 / (x + 5.6) = 7.09
Multiplying both sides by (x + 5.6) to get rid of the fraction:
53,884 = 7.09(x + 5.6)
Expanding the right side:
53,884 = 7.09x + 39.784
Subtracting 39.784 from both sides:
53,844 - 39.784 = 7.09x
14,100 = 7.09x
Dividing by 7.09 to solve for x:
x ≈ 1987.6
4) For the fourth equation:
(62.8 - x) * 4.7 = 255.68
294.16 - 4.7x = 255.68
Subtracting 294.16 from both sides:
-4.7x = -38.48
Dividing by -4.7 to solve for x:
x ≈ 8.17
Therefore, the solutions to the equations are:1) x = -4.082) x = 593) x ≈ 1987.64) x ≈ 8.17
1) To solve the first equation, we can start by multiplying both sides by (x+4.08) to get rid of the fraction:
38,912 * (x + 4.08) = 6.42
Expanding the left side:
38,912x + 38,912 * 4.08 = 6.42
38,912x + 158,721.856 = 6.42
Subtracting 158,721.856 from both sides:
38,912x = -158,715.436
Dividing by 38,912 to solve for x:
x = -4.08
2) For the second equation:
(х-15.7)*3.6 = 155.88
Expanding the left side:
3.6x - 56.52 = 155.88
Adding 56.52 to both sides:
3.6x = 212.4
Dividing by 3.6 to solve for x:
x = 59
3) For the third equation:
53,884 / (x + 5.6) = 7.09
Multiplying both sides by (x + 5.6) to get rid of the fraction:
53,884 = 7.09(x + 5.6)
Expanding the right side:
53,884 = 7.09x + 39.784
Subtracting 39.784 from both sides:
53,844 - 39.784 = 7.09x
14,100 = 7.09x
Dividing by 7.09 to solve for x:
x ≈ 1987.6
4) For the fourth equation:
(62.8 - x) * 4.7 = 255.68
Expanding the left side:
294.16 - 4.7x = 255.68
Subtracting 294.16 from both sides:
-4.7x = -38.48
Dividing by -4.7 to solve for x:
x ≈ 8.17
Therefore, the solutions to the equations are:
1) x = -4.08
2) x = 59
3) x ≈ 1987.6
4) x ≈ 8.17