Question

71+x=42 4челых2третьих - y=-2 целых 1-на шестая -86+x=51 y-5 целых 3 четвертых =-6 целых 5 8-ых

Answer 1

Ответ:

Пошаговое объяснение:

71+x=42; x=42-71=-29

4 2/3 -y=-2; y=4 2/3 +2=6 2/3

-86+x=51; x=51+86=137

y-5 3/4=-6 5/8; y=-6 5/8 +5 3/4=-6,625+5,75=-0,875 или

y=-6 5/8 +5 3/4=-6 5/8 +5 6/8=-5 13/8 +5 6/8=-7/8=-0,875

Answer 2

Let's solve the given equations step-by-step:

1. 71 + x = 42

To solve for x, we need to isolate it on one side of the equation. To do that, we can subtract 71 from both sides:

x = 42 - 71 x = -29

So the value of x is -29.

2. 4челых 2третьих - y = -2

To solve for y, we'll first express the mixed number (4челых 2третьих) as an improper fraction:

4челых = 4 2третьих = 2/3

Now, we can rewrite the equation as:

4 + 2/3 - y = -2

Next, let's get rid of the fraction by converting everything to a common denominator, which is 3:

(4 * 3) + 2 - 3y = -2 * 3

12 + 2 - 3y = -6

Now, isolate y by moving the constants to the other side:

-3y = -6 - 14 -3y = -20

Finally, divide both sides by -3 to find the value of y:

y = -20 / -3 y = 20 / 3 y ≈ 6.67

So the value of y is approximately 6.67.

3. 1 - 1/6 - 86 + x = 51

First, let's combine the constants:

1 - 1/6 - 86 = -85 + 5/6

Now, rewrite the equation as:

-85 + 5/6 + x = 51

Next, isolate x by moving the constants to the other side:

x = 51 - (-85 + 5/6) x = 51 + 85 - 5/6

To add the fractions, find a common denominator, which is 6:

x = 51 + 85 - (30 + 5)/6 x = 51 + 85 - 35/6

Now, find a common denominator for the whole expression:

x = (306 + 510 - 35) / 6 x = 781 / 6

So the value of x is 781/6.

4. y - 5 целых 3 четвертых = -6 целых 5 8-ых

To solve for y, we'll first convert the mixed numbers to improper fractions:

5 целых = 5 3 четвертых = 3/4

-6 целых = -6 5 8-ых = 5/8

Now, rewrite the equation as:

y - (5 + 3/4) = -6 - (5/8)

Next, perform the operations inside the parentheses:

y - (20/4 + 3/4) = -6 - (5/8) y - (23/4) = -48/8 - 5/8

Now, find a common denominator for the fractions:

y - (23/4) = (-48 - 5) / 8 y - (23/4) = -53/8

Isolate y by moving the constants to the other side:

y = -53/8 + 23/4

To add the fractions, find a common denominator, which is 8:

y = (-53 + 46) / 8 y = -7 / 8

So the value of y is -7/8.

To summarize the solutions:

x = -29 y ≈ 6.67 x = 781/6 y = -7/8