$5X+12Y=1280$. If $X=5$ what is the value of Y?

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.

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