Question

54:(x-7)=31-22 (29-x)*2=45+7

Answer 1

54:(x-7)=9
x=54:9
x-7=6
x=7+6
x=13
(29-x)*2=52
29-x=52:2
29-x=26
x=29-26
x=3

Answer 2

To solve the equations, let's take them one at a time:

1. 54 / (x - 7) = 31 - 22

First, simplify the right-hand side:

54 / (x - 7) = 31 - 22 54 / (x - 7) = 9

Now, to solve for x, cross-multiply:

54 = 9 * (x - 7)

Next, divide both sides by 9:

54 / 9 = x - 7

Simplify:

6 = x - 7

Finally, add 7 to both sides to find the value of x:

x = 6 + 7 x = 13

So the solution for the first equation is x = 13.

2. (29 - x) * 2 = 45 + 7

First, simplify the right-hand side:

(29 - x) * 2 = 45 + 7 2(29 - x) = 52

Now, divide both sides by 2:

2(29 - x) / 2 = 52 / 2

Simplify:

29 - x = 26

Next, isolate x by subtracting 29 from both sides:

29 - x - 29 = 26 - 29

Simplify:

-x = -3

Finally, multiply both sides by -1 to get the value of x:

x = 3

So the solution for the second equation is x = 3.

To summarize:

1. x = 13
2. x = 3