Set up the equation for the following word problem and solve the equation. Let y be the unknown number.−95−95 times a number minus 1414 is equal to −71−71 less than the number.Step 1 of 2 : Write out the equation.
Question
Set up the equation for the following word problem and solve the equation. Let y be the unknown number.−95−95 times a number minus 1414 is equal to −71−71 less than the number.Step 1 of 2 : Write out the equation.
Solution
The problem can be translated into the following equation: -95y - 14 = y - 71.
Step 2 of 2: Solve the equation.
To solve for y, we first need to get all terms involving y on one side of the equation. We can do this by adding 95y to both sides:
-95y + 95y - 14 = y - 71 + 95y
This simplifies to:
-14 = 96y - 71
Next, we add 71 to both sides to isolate the term with y:
-14 + 71 = 96y - 71 + 71
This simplifies to:
57 = 96y
Finally, we divide both sides by 96 to solve for y:
57 / 96 = y
So, y = 57 / 96.
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