Question

9(x+2)=2x+58x-80=x-2​

Answer 1

Ответ:

1. x= - 13/7

2. x= 78/7

Пошаговое объяснение:

1. 9(x+2)=2x+5

9x+18=2x+5

9x-2x=5-18

7x=-13

x= - 13/7

2. 8x-80=x-2

8x-x=-2+80

7x=78

x= 78/7

Answer 2

Let's solve this system of equations step by step.

The first equation is:

9(x + 2) = 2x + 58

To solve for x, you'll need to distribute the 9 on the left side of the equation:

9x + 18 = 2x + 58

Now, let's isolate the x terms on one side and the constants on the other side of the equation. Start by subtracting 2x from both sides:

9x - 2x + 18 = 58

This simplifies to:

7x + 18 = 58

Next, subtract 18 from both sides to isolate the 7x term:

7x = 58 - 18

7x = 40

Now, divide both sides by 7 to solve for x:

x = 40 / 7

Now, let's move on to the second equation:

58x - 80 = x - 2

To solve for x in this equation, first, move all the terms involving x to one side of the equation and constants to the other side:

58x - x = 80 - 2

This simplifies to:

57x = 78

Now, divide both sides by 57 to solve for x:

x = 78 / 57

Both of these fractions can be simplified. To simplify, find the greatest common divisor (GCD) of the numerator and denominator and divide both by the GCD.

For x = 40/7:

The GCD of 40 and 7 is 1, so no simplification is possible.

For x = 78/57:

The GCD of 78 and 57 is 3, so you can simplify it:

x = (78/3) / (57/3) = 26/19

So, the solutions to the system of equations are:

x = 40/7 and x = 26/19.