Question

– 11x = 43 + 18x;б) 2(x + 1) – 3 = 11;г) 3(1 + 2x) = 75;е) 3(x – 1) + 2 = 17​

Answer 1

Ответ:овощ

Пошаговое объяснение:

Answer 2

Let's solve each equation step by step:

a) $-11x = 43 + 18x$

Combine like terms by adding $11x$ to both sides of the equation:

$-11x + 11x = 43 + 18x + 11x$

Simplifying, we get:

$0 = 43 + 29x$

Now, subtract $43$ from both sides to isolate $29x$:

$-43 = 29x$

Finally, divide both sides by $29$ to solve for $x$:

$x = \frac{-43}{29}$

b) $2(x + 1) - 3 = 11$

Distribute the $2$ on the left side:

$2x + 2 - 3 = 11$

Combine like terms:

$2x - 1 = 11$

Add $1$ to both sides:

$2x = 12$

Divide both sides by $2$ to solve for $x$:

$x = 6$

c) $3(1 + 2x) = 75$

Distribute the $3$ on the left side:

$3 + 6x = 75$

Subtract $3$ from both sides:

$6x = 72$

Divide both sides by $6$ to solve for $x$:

$x = 12$

d) $3(x - 1) + 2 = 17$

Distribute the $3$ on the left side:

$3x - 3 + 2 = 17$

Combine like terms:

$3x - 1 = 17$

Add $1$ to both sides:

$3x = 18$

Divide both sides by $3$ to solve for $x$:

$x = 6$

So, the solutions are: a) $x = \frac{-43}{29}$ b) $x = 6$ c) $x = 12$ d) $x = 6$