12 X +13 Y is equal to 140 FX is equal to 4 what is the value of Y

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Step-by-Step Solution

Step 1: Substitute the value of X

We are given the equation $12X + 13Y = 140$ and the value of $X = 4$. To find the value of $Y$, we substitute $X = 4$ into the equation.

Step 2: Simplify the equation

Next, we multiply $12$ by $4$ to simplify the equation. This gives us $48 + 13Y = 140.

Step 3: Isolate the term with Y

To isolate the term with $Y$, we subtract $48$ 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: $140 - 48 = 92$. So, the equation becomes $13Y = 92.

Step 5: Solve for Y

Finally, to solve for $Y$, we divide both sides of the equation by $13$. This gives us the value of $Y.