Question

X-2/3=1/10 19/20-х=1/4

Answer 1

Ответ:

x=2/3+1/10

x=23/30=0,76

-x=1/4-19/20

-x=-7/10

x=7/10

Answer 2

To solve the equations, let's take them one by one:

1. Solve for x in the equation X - 2/3 = 1/10:

To isolate x, we need to get rid of the fraction on the left side by multiplying both sides of the equation by the denominator of the fraction, which is 3:

3 * (X - 2/3) = 3 * (1/10)

This simplifies to:

3X - 2 = 3/10

Now, let's isolate X by moving the constant term to the right side:

3X = 3/10 + 2

3X = 3/10 + 20/10

3X = 23/10

To solve for X, divide both sides of the equation by 3:

X = (23/10) / 3

X = 23/10 * 1/3

X = 23/30

So the solution to the first equation is X = 23/30.

2. Solve for x in the equation 19/20 - x = 1/4:

To isolate x, we'll move the constant term to the right side by subtracting 1/4 from both sides of the equation:

19/20 - x - 1/4 = 1/4 - 1/4

19/20 - x - 1/4 = 0

Now, let's find a common denominator for 20 and 4, which is 20:

19/20 - (5/5)(x) - 5/20 = 0

19/20 - 5x/5 - 5/20 = 0

Multiplying through by 20 to clear the fractions:

20(19/20) - 20(5x/5) - 20(5/20) = 0

19 - 4x - 1 = 0

Combine like terms:

18 - 4x = 0

To solve for x, isolate it by moving the constant term to the right side:

-4x = -18

Divide both sides of the equation by -4:

x = -18 / -4

x = 9/2

So the solution to the second equation is x = 9/2.

Therefore, the solutions to the given equations are:

X = 23/30 x = 9/2