Question

21(4x/7-2/3)+3/4=3(x+1/4)+9x-14

Answer 1

Пошаговое объяснение:

а) (21x+4/21-20/21 21x+4=20 21x=16 x=16/21

б) (4y+1) 4=1/2 4y+1=2 4y=1 y=1/4

в) (4-5x)/5+13/20=7/10 (4*(4-5x)+13)/20=14/20 4*(4-5x)+13=14 16-20x+13=14 -20x--15 x=3/4

г)2/3-(2/9+x)=1/3 4/9-x=1/3 x=1/9

Answer 2

To solve the equation, let's simplify and solve for x step by step.

Starting with the given equation:

21(4x/7 - 2/3) + 3/4 = 3(x + 1/4) + 9x - 14

We can simplify the equation by applying the distributive property and combining like terms. Let's simplify both sides of the equation separately:

On the left side: 21(4x/7 - 2/3) + 3/4 = (84x/7 - 42/3) + 3/4 = (12x - 14) + 3/4 = 12x - 14 + 3/4

On the right side: 3(x + 1/4) + 9x - 14 = 3x + 3/4 + 9x - 14 = 12x + 3/4 - 14

Now, we can rewrite the equation with the simplified expressions:

12x - 14 + 3/4 = 12x + 3/4 - 14

Notice that the terms with x on both sides of the equation cancel out, leaving us with:

-14 + 3/4 = -14

To solve for x, we need to determine if this equation is true or false.

-14 + 3/4 = -14

To simplify further, let's convert -14 into an expression with a common denominator:

-14 = -14 * (4/4) = -56/4

Now, our equation becomes:

-56/4 + 3/4 = -14

To add the fractions, the denominators must be the same:

(-56 + 3)/4 = -14

Simplifying the numerator:

-53/4 = -14

Now we can see that the equation is false. Therefore, there is no solution to this equation.

In conclusion, the given equation has no solution for x.