Question

/-7/8x/-/-3/5/=-/-3/10/​

Answer 1

Ответ:

х = (12/35)

Пошаговое объяснение:

(-7/8 х) + (3/5) = 3/10 (умножить обе части уравнения на 40)

-35х + 24 = 12

-35х = 12 - 24

-35х = -12

х = 12/35

Answer 2

It seems like you have an equation with absolute values that you'd like to solve:

|-7/8x| - |-3/5| = -|-3/10|

To solve this equation, you can consider different cases based on the signs within the absolute value bars.

Case 1: |-7/8x| is positive, and |-3/5| is positive. In this case, the equation becomes: (7/8x) - (3/5) = -(3/10)

Now, you can solve for x: 7/8x = (3/5) - (3/10)

First, find a common denominator for (3/5) and (3/10), which is 10: 7/8x = (6/10) - (3/10)

Now, subtract: 7/8x = 3/10

To isolate x, multiply both sides by (8/7): x = (3/10) * (8/7)

x = (3/10) * (8/7) = 24/70

You can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2: x = (24/2) / (70/2) = 12/35

So, for this case, x = 12/35.

Case 2: |-7/8x| is negative, and |-3/5| is positive. In this case, the equation becomes: -(7/8x) - (3/5) = -(3/10)

Now, you can solve for x: -(7/8x) = -(3/10) + (3/5)

First, find a common denominator for -(3/10) and (3/5), which is 10: -(7/8x) = -(3/10) + (6/10)

Now, add: -(7/8x) = (3/10)

To isolate x, multiply both sides by (-8/7) to change the sign: x = (3/10) * (-8/7)

x = (3/10) * (-8/7) = -24/70

Simplify the fraction: x = (-24/2) / (70/2) = -12/35

So, for this case, x = -12/35.

In summary, the solutions for the equation are: x = 12/35 and x = -12/35.