Question

А)x/3+5=8 б)6(x-3)=30 в)x/5+8=10 г)100/(x-8)=20 д)24/x+5=11 е)(x+8)/6=5

Answer 1

А)х/3=3
х=9
б)6х-18=30
6х=48
х=8
в)х/5=2
х=10
г)100=20х-160
20х=260
х=13
д)24/х=6
х=4
е)х+8=30
х=22

Answer 2

А) x= 9
Б) x= 8
В) x= 10
Г) х= 13
Д) х= 4
К) х= 22

Answer 3

To solve each equation, we'll isolate the variable x on one side of the equation. Let's solve each one step by step:

а) x/3 + 5 = 8

Step 1: Subtract 5 from both sides to move the constant term to the right side. x/3 = 8 - 5 x/3 = 3

Step 2: Multiply both sides by 3 to get rid of the fraction and solve for x. x = 3 * 3 x = 9

So the solution for equation (а) is x = 9.

б) 6(x - 3) = 30

Step 1: Divide both sides by 6 to isolate (x - 3) on the left side. x - 3 = 30 / 6 x - 3 = 5

Step 2: Add 3 to both sides to solve for x. x = 5 + 3 x = 8

The solution for equation (б) is x = 8.

в) x/5 + 8 = 10

Step 1: Subtract 8 from both sides to move the constant term to the right side. x/5 = 10 - 8 x/5 = 2

Step 2: Multiply both sides by 5 to eliminate the fraction and solve for x. x = 2 * 5 x = 10

The solution for equation (в) is x = 10.

г) 100/(x - 8) = 20

Step 1: Multiply both sides by (x - 8) to eliminate the fraction. 100 = 20(x - 8)

Step 2: Divide both sides by 20. 5 = x - 8

Step 3: Add 8 to both sides to solve for x. x = 5 + 8 x = 13

The solution for equation (г) is x = 13.

д) 24/x + 5 = 11

Step 1: Subtract 5 from both sides to move the constant term to the right side. 24/x = 11 - 5 24/x = 6

Step 2: Multiply both sides by x to eliminate the fraction. 24 = 6x

Step 3: Divide both sides by 6 to solve for x. x = 24 / 6 x = 4

The solution for equation (д) is x = 4.

е) (x + 8)/6 = 5

Step 1: Multiply both sides by 6 to eliminate the fraction. x + 8 = 5 * 6 x + 8 = 30

Step 2: Subtract 8 from both sides to solve for x. x = 30 - 8 x = 22

The solution for equation (е) is x = 22.

So, the solutions to the given equations are: а) x = 9 б) x = 8 в) x = 10 г) x = 13 д) x = 4 е) x = 22