Question

1) 315-|х|=228. 2) 15 2/15-|х|= 7 1/12. 3) 100,3+|х|=101 8/9

Answer 1

Рада была вам помочь!!!

Answer 2

Let's solve each of these equations step by step:

1. 315 - |x| = 228

To isolate the absolute value term, we'll start by subtracting 315 from both sides:

-|x| = 228 - 315

Simplifying the right side of the equation gives:

-|x| = -87

Now, to remove the negative sign in front of the absolute value, we can multiply both sides by -1:

|x| = 87

The absolute value of a number is always non-negative, so we can conclude that x = 87.

2. 15 2/15 - |x| = 7 1/12

First, let's convert the mixed numbers to improper fractions:

15 2/15 = (15 * 15 + 2) / 15 = 227/15 7 1/12 = (7 * 12 + 1) / 12 = 85/12

The equation becomes:

227/15 - |x| = 85/12

To eliminate the absolute value, we'll isolate it by subtracting 227/15 from both sides:

-|x| = 85/12 - 227/15

To simplify the right side of the equation, we need to find a common denominator. The least common multiple (LCM) of 12 and 15 is 60:

-|x| = (85/12)(5/5) - (227/15)(4/4) = 425/60 - 908/60 = (425 - 908)/60 = -483/60

Now, let's remove the negative sign by multiplying both sides by -1:

|x| = 483/60

Simplifying the fraction gives:

|x| = 161/20

The absolute value of x is always non-negative, so x can be either 161/20 or -161/20.

3. 100.3 + |x| = 101 8/9

To eliminate the absolute value, we'll isolate it by subtracting 100.3 from both sides:

|x| = 101 8/9 - 100.3

Let's convert the mixed number to an improper fraction:

101 8/9 = (101 * 9 + 8) / 9 = 917/9

Substituting this into the equation gives:

|x| = 917/9 - 100.3

To simplify the right side of the equation, we need a common denominator. The least common multiple (LCM) of 9 and 10 is 90:

|x| = (917/9)(10/10) - (100.3)(9/9) = 9170/90 - 902.7/90 = (9170 - 902.7)/90 = 8267.3/90

Since the absolute value of a number is always non-negative, x = 8267.3/90.

Note: The result is an approximate decimal value. If you need a specific form, such as a fraction or a decimal rounded to a certain number of decimal places, please let me know.