Question

3 8/9-y =2 7/9 (x-3 12/17)-8 9/17= 4 10/17

Answer 1

Ответ:

Пошаговое объяснение:

3 8/9-y =2 7/9

y = 3 8/9 - 2 7/9

y = 1 1/9

(x-3 12/17)-8 9/17= 4 10/17

x - 3 12/17 = 4 10/17 + 8 9/17

x - 3 12/17 = 12 19/17

x = 12 19/17 + 3 12/17

x = 15 31/17

x = 16 14/17

Answer 2

To solve the equation, let's simplify it step by step. The equation given is:

3 8/9 - y = 2 7/9 (x - 3 12/17) - 8 9/17 = 4 10/17

Step 1: Simplify the expression on the right side of the equation:

2 7/9 (x - 3 12/17) - 8 9/17

To simplify this, distribute the 2 7/9 to both terms inside the parentheses:

2 7/9 * x - 2 7/9 * 3 12/17 - 8 9/17

Step 2: Convert all mixed fractions to improper fractions for easier calculations:

3 8/9 = (9 * 3 + 8) / 9 = 35/9 3 12/17 = (17 * 3 + 12) / 17 = 63/17 2 7/9 = (9 * 2 + 7) / 9 = 25/9 8 9/17 = (17 * 8 + 9) / 17 = 145/17 4 10/17 = (17 * 4 + 10) / 17 = 74/17

So, the equation becomes:

35/9 - y = 25/9 * x - 63/17 - 145/17 = 74/17

Step 3: Get the terms with variables (x and y) on one side of the equation:

Move the terms with x to the left side by adding 63/17 and 145/17 to both sides:

35/9 - y + 63/17 + 145/17 = 25/9 * x + 74/17 + 63/17 + 145/17

Combine like terms on both sides:

(35/9 - y) + (63/17 + 145/17) = 25/9 * x + (74/17 + 63/17 + 145/17)

Calculate the values:

35/9 - y + 208/17 = 25/9 * x + 282/17

Step 4: Isolate the variable x:

Move the constant terms to the right side by subtracting 208/17 from both sides:

35/9 - y + 208/17 - 208/17 = 25/9 * x + 282/17 - 208/17

Calculate the values:

35/9 - y = 25/9 * x + 74/17

Now, to isolate x, we need to get rid of the fractions. Multiply both sides by 9 to eliminate the fraction on the left side:

9 * (35/9 - y) = 9 * (25/9 * x + 74/17)

The 9 on the left side cancels out the denominator 9, leaving:

35 - 9y = 25x + (74/17) * 9

35 - 9y = 25x + 74

Now, move the constant term to the left side:

35 - 9y - 74 = 25x

Combine the constants:

-39 - 9y = 25x

Finally, isolate x by dividing both sides by 25:

( -39 - 9y ) / 25 = x

Thus, the solution to the equation is:

x = ( -39 - 9y ) / 25