18 X +15 Y is equal to 3468 if X is equal to 2 or the value of Y

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Step-by-Step Solution

Step 1: Substitute the value of X

We are given the equation $18X + 15Y = 3468$ and the value of $X = 2$. To find $Y$, we first substitute the value of $X$ into the equation.

Step 2: Simplify the equation

Next, we multiply $18$ by $2$ to simplify the equation. This gives us $36 + 15Y = 3468.

Step 3: Isolate the term with Y

To isolate the term with $Y$, we subtract $36$ from both sides of the equation. This moves the constant term to the right side.

Step 4: Calculate the difference

Now, we perform the subtraction on the right side of the equation: $3468 - 36 = 3432$. So, the equation becomes $15Y = 3432.

Step 5: Solve for Y

Finally, to solve for $Y$, we divide both sides of the equation by $15$. This isolates $Y$ and gives us its value.

Step 6: Calculate the final value of Y

Performing the division, $3432 \div 15 = 228.8$. Therefore, the value of $Y$ is $228.8.