Question

1)17х -10 = 4х -14 2) -3(2х + 1)= -15(х +1,6) Срочно!!! Пошагово!!!!

Answer 1

Відповідь:

1)х=3,25

2)х= - 3,8

Покрокове пояснення:

1)17х -10 = 4х -14

17х-4х= - 14 +10

13х = - 4

х= 13:4

х= 3,25

2)-3(2х + 1)= -15(х +1,6)

3х= - 15 + 3 -1 + 1,6

3х= - 11,4

х= - 3,8

Answer 2

Sure, let's solve these equations step-by-step:

1. $17x - 10 = 4x - 14$

Step 1: Combine the x terms on one side and the constants on the other side of the equation. To do this, we can move the 4x to the left side by subtracting 4x from both sides:

$17x - 4x - 10 = 4x - 4x - 14$

Simplify:

$13x - 10 = -14$

Step 2: Isolate the variable x on one side. To do this, move the constant term (-10) to the right side by adding 10 to both sides of the equation:

$13x - 10 + 10 = -14 + 10$

Simplify:

$13x = -4$

Step 3: Solve for x by dividing both sides by the coefficient of x, which is 13:

$\frac{13x}{13} = \frac{-4}{13}$

Simplify:

$x = -\frac{4}{13}$

So the solution to the equation is $x = -\frac{4}{13}$.

2. $-3(2x + 1) = -15(x + 1.6)$

Step 1: Distribute the -3 on the left side and -15 on the right side:

$-3 \cdot 2x - 3 \cdot 1 = -15 \cdot x - 15 \cdot 1.6$

Simplify:

$-6x - 3 = -15x - 24$

Step 2: Combine the x terms on one side and the constants on the other side of the equation. To do this, move the -6x to the right side by adding 6x to both sides:

$-6x + 6x - 3 = -15x + 6x - 24$

Simplify:

$-3 = -9x - 24$

Step 3: Isolate the variable x on one side. To do this, move the constant term (-24) to the left side by adding 24 to both sides of the equation:

$-3 + 24 = -9x - 24 + 24$

Simplify:

$21 = -9x$

Step 4: Solve for x by dividing both sides by the coefficient of x, which is -9:

$\frac{21}{-9} = \frac{-9x}{-9}$

Simplify:

$x = -\frac{7}{3}$

So the solution to the equation is $x = -\frac{7}{3}$.

That's it! We have solved both equations step-by-step. If you have any further questions or need clarification, feel free to ask!