Question

А) (500 + х): 14 = 800 : 20 b) 981 : (369 - x) = 3c) 1000 : (х + 4) = 100d) (2х - 120) : 12 = 16е) 963 : (321 - x) = 9 : 3f) (29x - 290): 10 = 145 : 5​

Answer 1

Ответ:

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Answer 2

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

a) (500 + x) / 14 = 800 / 20

First, simplify both sides of the equation:

(500 + x) / 14 = 40

Now, multiply both sides by 14 to isolate x:

500 + x = 14 * 40 500 + x = 560

Subtract 500 from both sides to solve for x:

x = 560 - 500 x = 60

So, the solution to equation (a) is x = 60.

b) 981 / (369 - x) = 3

First, multiply both sides by (369 - x) to isolate the denominator:

981 = 3 * (369 - x)

Now, divide both sides by 3 to solve for (369 - x):

(369 - x) = 981 / 3 369 - x = 327

Subtract 369 from both sides to solve for x:

-x = 327 - 369 -x = -42

Multiply both sides by -1 to isolate x:

x = 42

So, the solution to equation (b) is x = 42.

c) 1000 / (x + 4) = 100

First, multiply both sides by (x + 4) to isolate the denominator:

1000 = 100 * (x + 4)

Now, divide both sides by 100 to solve for (x + 4):

(x + 4) = 1000 / 100 (x + 4) = 10

Subtract 4 from both sides to solve for x:

x = 10 - 4 x = 6

So, the solution to equation (c) is x = 6.

d) (2x - 120) / 12 = 16

First, multiply both sides by 12 to isolate (2x - 120):

2x - 120 = 16 * 12 2x - 120 = 192

Now, add 120 to both sides to solve for 2x:

2x = 192 + 120 2x = 312

Divide both sides by 2 to solve for x:

x = 312 / 2 x = 156

So, the solution to equation (d) is x = 156.

e) 963 / (321 - x) = 9 / 3

First, simplify the right side of the equation:

963 / (321 - x) = 3

Now, multiply both sides by (321 - x) to isolate the denominator:

963 = 3 * (321 - x)

Divide both sides by 3 to solve for (321 - x):

(321 - x) = 963 / 3 (321 - x) = 321

Subtract 321 from both sides to solve for x:

-x = 0

Multiply both sides by -1 to isolate x:

x = 0

So, the solution to equation (e) is x = 0.

f) (29x - 290) / 10 = 145 / 5

First, simplify the right side of the equation:

(29x - 290) / 10 = 29

Now, multiply both sides by 10 to isolate (29x - 290):

29x - 290 = 29 * 10 29x - 290 = 290

Add 290 to both sides to solve for 29x:

29x = 290 + 290 29x = 580

Divide both sides by 29 to solve for x:

x = 580 / 29 x = 20

So, the solution to equation (f) is x = 20.