Question

А) -2(x+3)=2x‐1 б) 2а-(14-3а)=10​

Answer 1

Ответ:

а) $-1\frac{1}{4}$ б) $4\frac{4}{5}$

Пошаговое объяснение:

a) $-2(x+3)=2x-1\\-2x-6=2x-1\\-2x-2x=-1+6\\-4x=5\\x=-5:4\\x=-1\frac{1}{4}$

б)$2a-(14-3a)=10\\2a-14+3a=10\\2a+3a=10+14\\5a=24\\a=24:5\\a=4\frac{4}{5}$

Answer 2

Let's solve each equation step by step:

a) -2(x + 3) = 2x - 1

First, we distribute the -2 to both terms inside the parentheses:

-2x - 6 = 2x - 1

Next, let's combine the x terms by adding 2x to both sides of the equation:

-2x - 2x - 6 = 2x - 1 + 2x

Simplifying:

-4x - 6 = 4x - 1

To isolate the x term, we can add 4x to both sides:

-4x + 4x - 6 = 4x + 4x - 1

Simplifying:

-6 = 8x - 1

Now, let's isolate the constant term by adding 1 to both sides:

-6 + 1 = 8x - 1 + 1

Simplifying:

-5 = 8x

Finally, to solve for x, we divide both sides by 8:

-5/8 = x

So the solution to the equation is x = -5/8.

b) 2a - (14 - 3a) = 10

First, let's simplify the expression inside the parentheses:

2a - 14 + 3a = 10

Next, let's combine the a terms:

2a + 3a - 14 = 10

Simplifying:

5a - 14 = 10

To isolate the variable term, we add 14 to both sides:

5a - 14 + 14 = 10 + 14

Simplifying:

5a = 24

To solve for a, we divide both sides by 5:

5a/5 = 24/5

Simplifying:

a = 24/5

So the solution to the equation is a = 24/5.