Question

1)2(х-1,5)+4=х-5 2) 2 1/3-1 3/5y=4 1/3-3y

Answer 1

1) х = -6

2) у = 170/21 (дробь)

Answer 2

Let's solve the two equations you provided:

1. 2(x - 1.5) + 4 = x - 5

First, distribute the 2 on the left side of the equation:

2x - 3 + 4 = x - 5

Combine like terms:

2x + 1 = x - 5

Now, subtract x from both sides to isolate the variable on one side:

2x - x + 1 = -5

x + 1 = -5

Subtract 1 from both sides:

x = -5 - 1

x = -6

So, the solution for the first equation is x = -6.

2. 2 1/3 - 1 3/5y = 4 1/3 - 3y

First, convert the mixed numbers to improper fractions:

2 1/3 = 7/3 1 3/5 = 8/5 4 1/3 = 13/3

Now, the equation becomes:

(7/3) - (8/5)y = (13/3) - 3y

To clear the fractions, you can multiply both sides of the equation by a common denominator, which is 15:

15[(7/3) - (8/5)y] = 15[(13/3) - 3y]

Now, distribute the 15 to each term:

(15 * 7/3) - (15 * 8/5)y = (15 * 13/3) - 15 * 3y

Now, simplify each term:

35 - 24y = 65 - 45y

Next, add 45y to both sides to isolate the variable term:

35 + 21y = 65

Subtract 35 from both sides:

21y = 65 - 35

21y = 30

Now, divide by 21 to solve for y:

y = 30 / 21

Simplify the fraction if possible:

y = 10/7

So, the solution for the second equation is y = 10/7.