Question

5-x=4(x-3) 7-(2x+3)=9 1/2(x-4)+3x=5

Answer 1

А)5-x=4(x-3)
5-x=4x-12
-x-4x=-12-5
-5x=-17
-x=-3,4
x=3,4

б)7-(2x+3)=9
7-2x-3=9
-2x=9-7+3
-2x=5
x=-2,5

в)1/2(x-4)+3x=5
1/2x- 2+3x=5
3,5x=5+2
3,5x=7
x=2

Answer 2

Let's solve each equation step-by-step:

1. 5 - x = 4(x - 3)

First, distribute the 4 on the right side of the equation:

5 - x = 4x - 12

Next, move the variable terms (terms with 'x') to one side of the equation and constant terms to the other side:

-x - 4x = -12 - 5

Combine like terms:

-5x = -17

Finally, solve for x by dividing both sides by -5:

x = -17 / -5

x = 17/5

So the solution for the first equation is: x = 17/5.

2. 7 - (2x + 3) = 9

First, simplify the equation within the parentheses:

7 - 2x - 3 = 9

Combine like terms:

4 - 2x = 9

Next, move the variable term to one side and the constant term to the other side:

-2x = 9 - 4

-2x = 5

Finally, solve for x by dividing both sides by -2:

x = 5 / -2

x = -5/2

So the solution for the second equation is: x = -5/2.

3. (1/2)(x - 4) + 3x = 5

First, distribute (1/2) on the left side of the equation:

(1/2)x - 2 + 3x = 5

Next, combine like terms:

(1/2)x + 3x - 2 = 5

Now, add the x terms together:

(1/2)x + 3x = 5 + 2

(1/2)x + 3x = 7

Now, we have 3.5x on the left side:

3.5x = 7

Finally, solve for x by dividing both sides by 3.5:

x = 7 / 3.5

x = 2

So the solution for the third equation is: x = 2.

Therefore, the solutions to the three equations are:

1. x = 17/5
2. x = -5/2
3. x = 2