Question

6(1,5-2,5x)=24,5-3,5(5+2x)=

Answer 1

6×1,5-6×2,5х=24,5-3,5×5-3,5×2х
9-15х=24,5-17,5-7х
9-15х=7-7х
9-15х-7+7х=0
2-8х=0
8х=2
х=2/8=0,25

Answer 2

To solve the equation, let's start with the first expression:

6(1.5 - 2.5x) = 24.5

Now, distribute the 6 to each term inside the parentheses:

6 * 1.5 - 6 * 2.5x = 24.5

Now, simplify:

9 - 15x = 24.5

Next, let's move all the terms containing x to one side of the equation and the constant terms to the other side:

-15x = 24.5 - 9

-15x = 15.5

Now, divide both sides by -15 to solve for x:

x = 15.5 / -15

x ≈ -1.0333 (rounded to four decimal places)

Now, let's move on to the second expression:

24.5 - 3.5(5 + 2x) = ?

First, simplify the expression inside the parentheses:

5 + 2x = 5 + 2(-1.0333) = 5 - 2.0667 ≈ 2.9333

Now, substitute this value back into the original expression:

24.5 - 3.5 * 2.9333 = 24.5 - 10.26665 ≈ 14.23335

So, the second expression simplifies to approximately 14.23335.