Question

4 4/7 - ( х - 6 3/7 ) = 2 6/7

Answer 1

4 4/7-х+6 3/7=2 6/7

11-х=2 6/7

х=11-2 6/7

х=8 1/7

Answer 2

To solve the equation:

4 4/7 - (x - 6 3/7) = 2 6/7

First, let's simplify the equation by performing the subtraction inside the parentheses:

4 4/7 - (x - 6 3/7) = 2 6/7 = 4 4/7 - x + 6 3/7 = 2 6/7

Next, let's simplify the mixed numbers:

4 4/7 = (7 * 4 + 4) / 7 = 32/7 6 3/7 = (7 * 6 + 3) / 7 = 45/7 2 6/7 = (7 * 2 + 6) / 7 = 20/7

Substituting the simplified values back into the equation:

32/7 - x + 45/7 = 20/7

Now, let's combine the like terms on the left side:

(32/7 + 45/7) - x = 20/7

Adding the fractions:

(32 + 45)/7 - x = 20/7 77/7 - x = 20/7

Now, let's isolate the variable x by subtracting 77/7 from both sides:

(77/7 - x) - 77/7 = (20/7) - 77/7

Simplifying:

-x = -57/7

To solve for x, multiply both sides by -1:

x = 57/7

Therefore, the solution to the equation is:

x = 57/7 or approximately x = 8.14