Question

X = 2/3 x + 1 ; x - 2/3 = 5/6 x ; 2/3 y - 1/3 = 5/9y​

Answer 1

Ответ:

x=3   x=4 y=1/2

Пошаговое объяснение:

х-2/3х=1          х-5/6х = 2/3         2/3у = 1/3

1/3х = 1            1/6х = 2/3                у= 3*1/2*3

х = 3                х = 6*2/3 = 4           у= 1/2

Answer 2

It looks like you've provided three different equations. Let's solve each of them separately:

1. X = (2/3)x + 1

To solve for x in this equation, you want to isolate x on one side of the equation. Here's how you can do it step by step:

X = (2/3)x + 1

First, subtract 1 from both sides:

X - 1 = (2/3)x

Now, to isolate x, you can multiply both sides by (3/2) since (2/3) * (3/2) equals 1:

(3/2)(X - 1) = (2/3)x

Now, the (2/3) on the right side cancels out, leaving you with:

(3/2)(X - 1) = x

So, x = (3/2)(X - 1)

2. x - (2/3) = (5/6)x

To solve for x in this equation, follow these steps:

x - (2/3) = (5/6)x

First, subtract (5/6)x from both sides:

x - (5/6)x = (2/3)

Now, you can simplify the left side by finding a common denominator for x and (5/6):

(6/6)x - (5/6)x = (2/3)

Now, subtract:

(1/6)x = (2/3)

To isolate x, multiply both sides by 6/1 (which is just 6):

(1/6)x * (6/1) = (2/3) * (6/1)

x = 4

So, x = 4 is the solution to this equation.

3. (2/3)y - (1/3) = (5/9)y

To solve for y in this equation, you'll want to isolate y on one side:

(2/3)y - (1/3) = (5/9)y

First, subtract (5/9)y from both sides:

(2/3)y - (5/9)y = (1/3)

Now, find a common denominator for the fractions on the left side, which is 9:

(6/9)y - (5/9)y = (1/3)

Now, subtract:

(1/9)y = (1/3)

To isolate y, multiply both sides by 9/1 (which is just 9):

(1/9)y * (9/1) = (1/3) * (9/1)

y = 3

So, y = 3 is the solution to this equation.