Question

1) 9x + 12 = 120 2) 115 – 3y = 34 3) (x - 8). 12 = 132 4) 84 : x + 5 = 17 .​

Answer 1

1) 9x + 12 = 120
9x = 120 - 12
9x = 108
x = 108 : 9
x = 12

2) 115 - 3y = 34
3y = 115 - 34
3y = 81
y = 81 : 3
y = 27

3) (x-8)•12=132
(x-8)=132:12
(x-8)=11
x=11+8
x=19

4) 84:x+5=17
84:x=17-5
84:x=12
x=84:12
x=7

Answer 2

Let's solve each equation step by step:

1. 9x + 12 = 120

First, we'll isolate the variable term by subtracting 12 from both sides:

9x = 120 - 12 9x = 108

Then, we divide both sides by 9 to solve for x:

x = 108 / 9 x = 12

So the solution to the equation is x = 12.

2. 115 - 3y = 34

To isolate the variable term, we'll subtract 115 from both sides:

-3y = 34 - 115 -3y = -81

Next, divide both sides by -3:

y = -81 / -3 y = 27

Therefore, the solution to the equation is y = 27.

3. (x - 8) * 12 = 132

To solve for x, we'll first divide both sides by 12:

(x - 8) = 132 / 12 (x - 8) = 11

Now, add 8 to both sides to isolate x:

x = 11 + 8 x = 19

So the solution to the equation is x = 19.

4. 84 / x + 5 = 17

First, we'll isolate the fraction by subtracting 5 from both sides:

84 / x = 17 - 5 84 / x = 12

Next, we'll multiply both sides by x to eliminate the fraction:

x * (84 / x) = 12 * x 84 = 12x

Then, divide both sides by 12:

84 / 12 = 12x / 12 7 = x

Therefore, the solution to the equation is x = 7.

To summarize:

1. x = 12
2. y = 27
3. x = 19
4. x = 7