Question

A)8 1/7 -(x+2 3/17)=4 1/6

Answer 1

Відповідь:

$x = \frac{1285}{714}$

Покрокове пояснення:

$\frac{57}{7} - (x+\frac{37}{17})=\frac{25}{6}\\\frac{57}{7} - x - \frac{37}{17}=\frac{25}{6}\\\\\frac{710}{119} - x=\frac{25}{6} \\-x=\frac{25}{6} - \frac{710}{119}\\-x = - \frac{1285}{714} \\x = \frac{1285}{714}$

Answer 2

To solve for x in the equation:

8 1/7 - (x + 2 3/17) = 4 1/6

You'll first want to simplify the fractions and then isolate x. Here's how you can do it step by step:

Step 1: Simplify the mixed numbers on both sides of the equation.

On the left side, you have 8 1/7, which can be written as an improper fraction:

8 1/7 = 57/7

On the right side, you have 4 1/6, which can also be written as an improper fraction:

4 1/6 = 25/6

Now, your equation becomes:

57/7 - (x + 2 3/17) = 25/6

Step 2: Simplify the mixed number on the right side of the equation.

2 3/17 can be written as an improper fraction:

2 3/17 = (2 * 17 + 3)/17 = 37/17

So, the equation becomes:

57/7 - (x + 37/17) = 25/6

Step 3: Isolate x.

To isolate x, first, get rid of the fraction on the left side by multiplying both sides by the common denominator of 7 and 17, which is 7 * 17 = 119:

(7 * 17)(57/7) - (7 * 17)(x + 37/17) = (7 * 17)(25/6)

This simplifies to:

(119)(57/7) - (119)(x + 37/17) = (119)(25/6)

Now, you can cancel out the denominators:

(17 * 57) - 119(x + 37/17) = (7 * 25)

969 - 119(x + 37/17) = 175

Step 4: Distribute 119 on the left side:

969 - 119x - (119 * 37/17) = 175

Step 5: Calculate (119 * 37/17):

(119 * 37)/17 = 2573/17

So, the equation becomes:

969 - 119x - 2573/17 = 175

Step 6: Subtract 969 from both sides to isolate the term with x:

-119x - 2573/17 = 175 - 969

Step 7: Simplify the right side:

-119x - 2573/17 = -794

Step 8: Add 2573/17 to both sides:

-119x = -794 + 2573/17

Step 9: Now, you can solve for x by dividing both sides by -119:

x = (-794 + 2573/17)/-119

To simplify further, find a common denominator:

x = (-794 * 17/17 + 2573/17)/-119

x = (-13498/17 + 2573/17)/-119

Now, add the fractions in the numerator:

x = (-10925/17)/-119

Finally, divide the numerator by the denominator:

x = (10925/17) / 119

x = (10925/17) * (1/119)

x = 10925/2023

So, the solution for x is:

x ≈ 5.39 (rounded to two decimal places)