5X+12Y=1280. If X=5 what is the value of Y?
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Step-by-Step Solution
Step 1: Substitute the value of X
The problem provides an equation 5X+12Y=1280 and states that X=5. To find the value of Y, we first substitute the given value of X into the equation.
Step 2: Simplify the equation
After substituting X=5, we multiply 5 by 5 to simplify the term 5X. This gives us 25, resulting in the simplified equation 25+12Y=1280.
Step 3: Isolate the term with Y
To isolate the term containing Y, we need to move the constant term 25 to the right side of the equation. We do this by subtracting 25 from both sides.
Step 4: Calculate the difference
Now, we perform the subtraction on the right side of the equation: 1280−25=1255. This simplifies the equation to 12Y=1255.
Step 5: Solve for Y
Finally, to find the value of Y, we divide both sides of the equation by 12. This isolates Y and gives us its numerical value.