Question

1) (490 - x) - 250 = 70 2) 540: (x + 6) = 60 3) 138 + x + 57 = 218; 4) 248 - (y + 123) = 24; 5) (24 - x) + 37 = 49​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

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

1. (490 - x) - 250 = 70

First, simplify the left side of the equation:

(490 - x) - 250 = 240 - x = 70

Now, isolate x by adding x to both sides of the equation:

240 - x + x = 70 + x

The x on the left side cancels out, and you're left with:

240 = 70 + x

Now, subtract 70 from both sides to solve for x:

240 - 70 = 70 - 70 + x

170 = x

So, the solution to the first equation is x = 170.

2. 540 ÷ (x + 6) = 60

First, isolate the expression in the denominator by multiplying both sides by (x + 6):

540 = 60(x + 6)

Now, distribute the 60 on the right side:

540 = 60x + 360

Subtract 360 from both sides:

540 - 360 = 60x + 360 - 360

180 = 60x

Now, divide by 60 to find x:

x = 180 ÷ 60 x = 3

So, the solution to the second equation is x = 3.

3. 138 + x + 57 = 218

Combine like terms on the left side:

138 + 57 + x = 218

195 + x = 218

Now, isolate x by subtracting 195 from both sides:

195 + x - 195 = 218 - 195

x = 23

So, the solution to the third equation is x = 23.

4. 248 - (y + 123) = 24

First, simplify the expression in the parentheses:

248 - y - 123 = 24

Now, combine like terms on the left side:

248 - 123 - y = 24

125 - y = 24

Isolate y by subtracting 125 from both sides:

125 - y - 125 = 24 - 125

-y = -101

Multiply both sides by -1 to solve for y:

y = 101

So, the solution to the fourth equation is y = 101.

5. (24 - x) + 37 = 49

First, simplify the left side of the equation:

24 - x + 37 = 49

Now, combine like terms on the left side:

61 - x = 49

Isolate x by subtracting 61 from both sides:

61 - x - 61 = 49 - 61

-x = -12

Multiply both sides by -1 to solve for x:

x = 12

So, the solution to the fifth equation is x = 12.