Question

А) 4х - (5х - 3)= 3 - 2(1 - 2х); б) 34х - 16 = х - 2

Answer 1

Б) 34x-x-16=-2
34x-x=-2+16
33x=-2+16
33x=14
x=14/33

Answer 2

4х-5х+3=3-2+4х

-5х+3=3-2

-5х=-2

Х=2/5(дробь)

Answer 3

Let's solve each equation step by step:

А) 4х - (5х - 3) = 3 - 2(1 - 2х)

Step 1: Distribute the negative sign inside the parentheses on the left side of the equation. 4х - 5х + 3 = 3 - 2(1 - 2х)

Step 2: Combine the like terms on the left side of the equation. (-1х) + 3 = 3 - 2(1 - 2х)

Step 3: Simplify the expression in parentheses on the right side. (-1х) + 3 = 3 - 2 + 4х

Step 4: Combine the constant terms on the right side. (-1х) + 3 = 1 + 4х

Step 5: Get the variables on one side and the constants on the other side of the equation. Let's move 4x to the left side and 3 to the right side. (-1х) - 4х = 1 - 3

Step 6: Combine the x terms on the left side and the constants on the right side. -5х = -2

Step 7: Solve for x by dividing both sides by -5. x = -2 / -5 x = 2/5

So the solution to equation (A) is x = 2/5.

б) 34х - 16 = х - 2

Step 1: Get the x terms on one side and the constants on the other side of the equation. Let's move x to the left side and -16 to the right side. 34х - х = -2 + 16

Step 2: Combine the x terms on the left side and the constants on the right side. 33х = 14

Step 3: Solve for x by dividing both sides by 33. x = 14 / 33

The simplified value of x is x ≈ 0.42424242... (repeating decimal).

So the solution to equation (B) is x ≈ 0.4242.