Question

1 ) (x - 8)/(x + 2) = 7/3 2) 4/(x - 1, 2) = 15/(x - 10)

Answer 1

Ответ:

Пошаговое объяснение:

1 )

(x - 8)/(x + 2) = 7/3

7*(x + 2) = 3*(x - 8)

7x + 14 = 3x - 24

7x - 3x = -24 - 14

4x = -38

x = -38 : 4

x = -9,5

2)

4/(x - 1, 2) = 15/(x - 10)

15*(x - 1,2) = 4*(x - 10)

15x - 18 = 4x - 40

15x - 4x = -40 + 18

11x = -22

x = -22 : 11

x = -2

Answer 2

To solve the given equations, let's find the values of 'x' that satisfy each equation.

1. (x - 8)/(x + 2) = 7/3

To solve this equation, we can cross-multiply to eliminate the fractions:

3(x - 8) = 7(x + 2)

Now, distribute on both sides:

3x - 24 = 7x + 14

Next, get all the 'x' terms on one side and the constants on the other side:

3x - 7x = 14 + 24

Combine like terms:

-4x = 38

Now, isolate 'x' by dividing both sides by -4:

x = 38 / -4

x = -19

So, the solution to the first equation is x = -19.

2. 4/(x - 1.2) = 15/(x - 10)

To solve this equation, we'll cross-multiply again:

4(x - 10) = 15(x - 1.2)

Expand:

4x - 40 = 15x - 18

Now, move the 'x' terms to one side and the constants to the other side:

4x - 15x = -18 + 40

Combine like terms:

-11x = 22

Finally, isolate 'x' by dividing both sides by -11:

x = 22 / -11

x = -2

So, the solution to the second equation is x = -2.

Therefore, the solutions to the given equations are:

1. x = -19
2. x = -2