Question

A) 4(x + 3) = 5(x - 2); Б) -2(x - 5) + 3(x - 4) = 4x + 1;B) 3(x - 1) = 2(x + 2);Г) 3(x - 5) - 2(x + 4) = -5x + 1.Решите пж​

Answer 1

Ответ:

4(x+3)=5(x-2)

4x+12=5x-10

x=20

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

-2x+10+3x-12=4×+1

-2-1=4x-x

3x=-3

x=-1

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

3x-3=2x+4

3x-2x=4+3

x=7

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

3x-15-2x-8=-5x+1

x-23=-5x+1

x-5x=1+23

-4x=24

x=-6

Answer 2

A) Let's solve the equation step by step:

4(x + 3) = 5(x - 2)

First, distribute the 4 on the left side and the 5 on the right side:

4x + 12 = 5x - 10

Next, move all terms containing x to one side and the constant terms to the other side:

4x - 5x = -10 - 12

Simplifying the equation:

-x = -22

Multiply both sides by -1 to eliminate the negative sign:

x = 22

So the solution to the equation is x = 22.

B) Let's solve the equation step by step:

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

First, distribute the -2 and 3 on the left side, and simplify the right side:

-2x + 10 + 3x - 12 = 4x + 1

Combine like terms on both sides:

x - 2 = 4x + 1

Next, move all terms containing x to one side and the constant terms to the other side:

x - 4x = 1 + 2

Simplifying the equation:

-3x = 3

Divide both sides by -3 to solve for x:

x = -1

So the solution to the equation is x = -1.

C) Let's solve the equation step by step:

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

First, distribute the 3 and 2 on their respective terms:

3x - 3 = 2x + 4

Next, move all terms containing x to one side and the constant terms to the other side:

3x - 2x = 4 + 3

Simplifying the equation:

x = 7

So the solution to the equation is x = 7.

D) Let's solve the equation step by step:

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

First, distribute the 3 and -2 on their respective terms:

3x - 15 - 2x - 8 = -5x + 1

Combine like terms on both sides:

x - 23 = -5x + 1

Next, move all terms containing x to one side and the constant terms to the other side:

x + 5x = 1 + 23

Simplifying the equation:

6x = 24

Divide both sides by 6 to solve for x:

x = 4

So the solution to the equation is x = 4.

In summary, the solutions to the given equations are: A) x = 22 B) x = -1 C) x = 7 D) x = 4