Question

1) x–2 /5 = 3 /–8 2) –9 /2 x–3 = 3 /8

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve the given equations, let's solve them step by step:

1. $\frac{x-2}{5} = \frac{3}{-8}$

To eliminate the fractions, we can multiply both sides of the equation by their respective denominators. In this case, we multiply by 5 and -8:

$(x-2) \cdot -8 = 3 \cdot 5$

Simplifying this equation:

$-8x + 16 = 15$

Now, we isolate the variable term by moving 16 to the other side of the equation:

$-8x = 15 - 16$

$-8x = -1$

Finally, we solve for x by dividing both sides by -8:

$x = \frac{-1}{-8}$

Simplifying the fraction:

$x = \frac{1}{8}$

Therefore, the solution for the equation is $x = \frac{1}{8}$.

2. $-\frac{9}{2} \cdot x - 3 = \frac{3}{8}$

To eliminate the fractions, we can multiply both sides of the equation by their respective denominators. In this case, we multiply by 2 and 8:

$-9 \cdot x \cdot 8 - 3 \cdot 2 = 3$

Simplifying this equation:

$-72x - 6 = 3$

Now, we isolate the variable term by moving -6 to the other side of the equation:

$-72x = 3 + 6$

$-72x = 9$

Finally, we solve for x by dividing both sides by -72:

$x = \frac{9}{-72}$

Simplifying the fraction:

$x = -\frac{1}{8}$

Therefore, the solution for the equation is $x = -\frac{1}{8}$.