Question

5x=-30−x -6(x-2)=2x-17 -10x+3(7-2x)=13-2x

Answer 1

1. 5x=-30-x = 5x+x=-30 =6x=-30

2. -6(x-2)=2x-17 = -6x^2+10x+17=0 = a-6, b=10, c=17 = 10^2-4(-6)•17=508

3. -10x+3(7-2)=13-2х = -10x +21 -6x =13 -2x = -16x +21 = 13 -2x = -16+2x = 13-21 = -14x = -8 = x= 4/7

Answer 2

To solve the given equations, let's start with the first equation:

5x = -30 - x

First, we can simplify the right side of the equation:

5x = -30 - x 5x + x = -30 6x = -30

Dividing both sides of the equation by 6, we get:

x = -30 / 6 x = -5

So the solution to the first equation is x = -5.

Moving on to the second equation:

-6(x - 2) = 2x - 17

First, distribute the -6 on the left side of the equation:

-6x + 12 = 2x - 17

Now, let's gather all the x terms on one side of the equation and the constant terms on the other side:

-6x - 2x = -17 - 12 -8x = -29

Dividing both sides of the equation by -8:

x = (-29) / (-8) x = 29/8

So the solution to the second equation is x = 29/8.

Finally, let's solve the third equation:

-10x + 3(7 - 2x) = 13 - 2x

First, distribute the 3 on the left side of the equation:

-10x + 21 - 6x = 13 - 2x

Now, let's gather all the x terms on one side of the equation and the constant terms on the other side:

-10x - 6x + 2x = 13 - 21 -14x = -8

Dividing both sides of the equation by -14:

x = (-8) / (-14) x = 4/7

So the solution to the third equation is x = 4/7.

To summarize, the solutions to the given equations are:

1. x = -5
2. x = 29/8
3. x = 4/7