Question

X - 1/2 = 3/4x 1 5/4y = y + 43/4y - 2/3 = 7/12y​

Answer 1

Ответ:

х-1/2=3/4х

х-3/4х=1/2

1/4х=1/2

х=1/2÷1/4

х=1/2×4/3

х=2/3

1 5/4у=у+4

1 5/4у-у=4

5/4у=4

у=4÷5/4

у=4/1×5/4

у=5

3/4у-2/3=7/12 у

3/4у-7/12у=2/3

9/12у-7/12у=2/3

2/12у=2/3

у=2/3÷2/12

у=8/12÷2/12

у=8/12×12/2

у=4

Answer 2

To solve the equations, let's work through them step by step.

1. $X - \frac{1}{2} = \frac{3}{4}X$

To solve this equation, we'll first eliminate the fraction by multiplying the entire equation by 4 to get rid of the denominator:

$4(X - \frac{1}{2}) = 4(\frac{3}{4}X)$

$4X - 2 = 3X$

Next, we'll move all the terms containing X to one side and constants to the other side:

$4X - 3X = 2$

$X = 2$

So, the value of X is 2.

2. $1\frac{5}{4}y = y + \frac{43}{4}y$

To simplify this equation, let's first convert the mixed number to an improper fraction:

$1\frac{5}{4}y = \frac{4}{4}y + \frac{43}{4}y$

$1\frac{5}{4}y = \frac{47}{4}y$

Next, let's move all terms with y to one side and constants to the other side:

$1\frac{5}{4}y - \frac{47}{4}y = 0$

$\frac{9}{4}y = 0$

Now, to find the value of y, we can divide both sides by $\frac{9}{4}$:

$y = 0$

So, the value of y is 0.

3. $\frac{2}{3} = \frac{7}{12}y - \frac{2}{3}$

To solve this equation, let's first isolate the $\frac{7}{12}y$ term:

$\frac{7}{12}y = \frac{2}{3} + \frac{2}{3}$

$\frac{7}{12}y = \frac{4}{3}$

Now, to find the value of y, we can multiply both sides by the reciprocal of $\frac{7}{12}$ (which is $\frac{12}{7}$):

$y = \frac{4}{3} \times \frac{12}{7}$

$y = \frac{16}{7}$

So, the value of y is $\frac{16}{7}$.