Question

А) 26×(х+427)=15757Б) 101×(351+y)=65549В) 22379:(k-125)=1243Г) 38007:(4223-t)=9

Answer 1

To solve each of these equations, we need to isolate the variable on one side of the equation. Let's solve them step by step:

А) 26×(x + 427) = 15757

1. First, distribute the 26 on the left side of the equation:

26x + 26×427 = 15757

2. Simplify:

26x + 11002 = 15757

3. Now, isolate the variable term by moving the constant term (11002) to the other side of the equation. To do that, subtract 11002 from both sides:

26x = 15757 - 11002

4. Continue to simplify:

26x = 4755

5. Finally, solve for x by dividing both sides by 26:

x = 4755 / 26 ≈ 183.46

B) 101×(351 + y) = 65549

1. First, distribute the 101 on the left side of the equation:

101 × 351 + 101y = 65549

2. Simplify:

35451 + 101y = 65549

3. Now, isolate the variable term by moving the constant term (35451) to the other side of the equation. To do that, subtract 35451 from both sides:

101y = 65549 - 35451

4. Continue to simplify:

101y = 30098

5. Finally, solve for y by dividing both sides by 101:

y = 30098 / 101 ≈ 297.02

C) 22379:(k - 125) = 1243

1. To isolate the variable term, first multiply both sides by (k - 125):

22379 = 1243 × (k - 125)

2. Divide both sides by 1243:

(k - 125) = 22379 / 1243

3. Continue to simplify:

(k - 125) = 18

4. Now, isolate k by adding 125 to both sides:

k = 18 + 125

5. Finally, solve for k:

k = 143

D) 38007:(4223 - t) = 9

1. To isolate the variable term, first multiply both sides by (4223 - t):

38007 = 9 × (4223 - t)

2. Divide both sides by 9:

(4223 - t) = 38007 / 9

3. Continue to simplify:

(4223 - t) = 4223

4. Now, isolate t by subtracting 4223 from both sides:

-t = 4223 - 4223

5. Continue to simplify:

-t = 0

6. Finally, solve for t by multiplying both sides by -1:

t = 0

So the solutions for each equation are:

A) x ≈ 183.46 B) y ≈ 297.02 C) k = 143 D) t = 0