To solve the first equation, we have:
|х+7| / 16 = 32 / 25.6
|х+7| = (16 * 32) / 25.6
|х+7| = 512 / 25.6
|х+7| = 20
Now we have two possible equations to solve for x:
1) x + 7 = 20x = 13
2) x + 7 = -20x = -27
Therefore, x = 13 or x = -27.
Next, to solve the second equation:
1.8 / |x - 0.9| = 3 / 8.5
|x - 0.9| = (1.8 * 8.5) / 3
|x - 0.9| = 5.1
1) x - 0.9 = 5.1x = 6
2) x - 0.9 = -5.1x = -4.2
Therefore, x = 6 or x = -4.2.
Lastly, to solve the third equation:
6.9 / 11.5 = 5.7 / |x + 0.5|
11.5 / 6.9 = |x + 0.5| / 5.7
1.6667 = |x + 0.5| / 5.7
|x + 0.5| = 1.6667 * 5.7
|x + 0.5| = 9.5
1) x + 0.5 = 9.5x = 9
2) x + 0.5 = -9.5x = -10
Therefore, x = 9 or x = -10.
The last equation:
9.8 / 2.1 = 12.6 / |x - 0.3|
2.1 / 9.8 = |x - 0.3| / 12.6
0.2143 = |x - 0.3| / 12.6
|x - 0.3| = 0.2143 * 12.6
|x - 0.3| = 2.69
1) x - 0.3 = 2.69x = 2.99
2) x - 0.3 = -2.69x = -2.39
Therefore, x = 2.99 or x = -2.39.
To solve the first equation, we have:
|х+7| / 16 = 32 / 25.6
|х+7| = (16 * 32) / 25.6
|х+7| = 512 / 25.6
|х+7| = 20
Now we have two possible equations to solve for x:
1) x + 7 = 20
x = 13
2) x + 7 = -20
x = -27
Therefore, x = 13 or x = -27.
Next, to solve the second equation:
1.8 / |x - 0.9| = 3 / 8.5
|x - 0.9| = (1.8 * 8.5) / 3
|x - 0.9| = 5.1
Now we have two possible equations to solve for x:
1) x - 0.9 = 5.1
x = 6
2) x - 0.9 = -5.1
x = -4.2
Therefore, x = 6 or x = -4.2.
Lastly, to solve the third equation:
6.9 / 11.5 = 5.7 / |x + 0.5|
11.5 / 6.9 = |x + 0.5| / 5.7
1.6667 = |x + 0.5| / 5.7
|x + 0.5| = 1.6667 * 5.7
|x + 0.5| = 9.5
Now we have two possible equations to solve for x:
1) x + 0.5 = 9.5
x = 9
2) x + 0.5 = -9.5
x = -10
Therefore, x = 9 or x = -10.
The last equation:
9.8 / 2.1 = 12.6 / |x - 0.3|
2.1 / 9.8 = |x - 0.3| / 12.6
0.2143 = |x - 0.3| / 12.6
|x - 0.3| = 0.2143 * 12.6
|x - 0.3| = 2.69
Now we have two possible equations to solve for x:
1) x - 0.3 = 2.69
x = 2.99
2) x - 0.3 = -2.69
x = -2.39
Therefore, x = 2.99 or x = -2.39.