28 - [65 ÷ 5 + (9 + 9) - (6 - _)] = 19
Answer (2)
To solve the equation 28 − [ 65 ÷ 5 + ( 9 + 9 ) − ( 6 − _ )] = 19 , we need to find the number that should replace the underscore to make the equation true.
Let's break it down step-by-step:
Calculate the division inside the brackets: 65 ÷ 5 = 13
Calculate the addition inside the parentheses: ( 9 + 9 ) = 18
Express everything together within the brackets: 13 + 18 − ( 6 − )
Simplify the expression inside the brackets: 13 + 18 = 31
So, the equation inside the brackets becomes:
31 − ( 6 − )
Given the entire equation: 28 − [ 31 − ( 6 − ) ] = 19
Simplify by setting up the equation inside the brackets to make the whole equation correct: 28 − ( 31 − 6 + ) = 19 28 − ( 25 − ) = 19
Subtract 28 from both sides to isolate the bracketed expression: − ( 25 − ) = 19 − 28 − ( 25 − ) = − 9
Eliminate the negative signs from both sides by multiplying or dividing by -1: 25 − = 9
Solve for _ : 25 - 9 = _ = 16
Therefore, the number that should replace the underscore is 16.
To solve the equation, we break it down step-by-step by performing arithmetic operations in the correct order. By isolating the underscore, we find that it must equal -16 for the equation to hold true. Therefore, the value that replaces the underscore is -16.
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