Question

1) 5-2(x-1)=4-x 2) 3,4+2y=7(y-2,3)розвяжіть рівняння​

Answer 1

$1)5 - 2(x -1) = 4 - x \\ 5 - 2x + 2 = 4 - x \\ 7 - 2x = 4 - x \\ 7 - 2x + x = 4 \\ - 2x + x = 4 - 7 \\ - x = 4 - 7 \\ - x = - 3 \\ x = 3$

$2)3.4 + 2y = 7(y - 2.3) \\ 3.4 + 2y = 7y - 16.1 \\ 3.4 + 2y - 7y = - 16.1 \\ 2y - 7y = - 16.1 - 3.4 \\ - 5y = - 16.1 - 3.4 \\ - 5y = - 19.5 \\ y = 3.9$

Answer 2

1. To solve the equation 5 - 2(x - 1) = 4 - x, we'll follow these steps:

Expanding the brackets: 5 - 2x + 2 = 4 - x

Combining like terms: -2x + 7 = 4 - x

Moving all the x terms to one side and the constant terms to the other side: -2x + x = 4 - 7

Simplifying: -x = -3

Dividing both sides by -1 to isolate x: x = 3

Therefore, the solution to the equation is x = 3.

2. To solve the equation 3.4 + 2y = 7(y - 2.3), we'll follow these steps:

Expanding the brackets: 3.4 + 2y = 7y - 16.1

Moving all the y terms to one side and the constant terms to the other side: 2y - 7y = -16.1 - 3.4

Combining like terms: -5y = -19.5

Dividing both sides by -5 to isolate y: y = -19.5 / -5

Simplifying: y = 3.9

Therefore, the solution to the equation is y = 3.9.