Question

7 7/30-(5 11/30-y)=3 19/30

Answer 1

1) 7 7/30-( 5 11/30-y)=3 19/30  
 5 11\30-у=7 7\30-3 19\30
 5 11\30-у=6 37\30-3 19\30
 5 11\30-у=3 18\30
у=5 11\30-3 18\30
у=4 41\30-3 18\30
у=1 23\30
2) X - 1 9\17 = 5 5\17 - 2 14\17 
X - 1 9\17 = 4 22\17 - 2 14\17 
X - 1 9\17 = 2 8\17 
X = 2 8\17 + 1 9\17 
X = 3 17\17 
X = 4

 

Answer 2

To solve the equation:

7 7/30 - (5 11/30 - y) = 3 19/30

We need to simplify the expressions on both sides and isolate the variable y.

First, let's simplify the expressions:

7 7/30 is equivalent to (7 * 30 + 7) / 30 = 217/30

5 11/30 is equivalent to (5 * 30 + 11) / 30 = 161/30

3 19/30 is equivalent to (3 * 30 + 19) / 30 = 109/30

Now we can rewrite the equation:

217/30 - (161/30 - y) = 109/30

Next, let's simplify the expression inside the parentheses:

161/30 - y

To subtract y, we can rewrite it as:

161/30 + (-y)

Now we can substitute this expression back into the equation:

217/30 - (161/30 + (-y)) = 109/30

To remove the parentheses, we distribute the negative sign:

217/30 - 161/30 + y = 109/30

Now, let's combine like terms:

(217 - 161)/30 + y = 109/30

56/30 + y = 109/30

To isolate y, we can subtract 56/30 from both sides:

y = 109/30 - 56/30

To subtract the fractions, we need a common denominator:

y = (109 - 56)/30

y = 53/30

Therefore, the solution to the equation is:

y = 53/30