$3X+4Y = 67$. If $X= 3$. What is Y?

Step 1: Substitute the value of X

We are given the equation $3X + 4Y = 67$ and the value of $X = 3$. The first step is to substitute the value of $X$ into the equation.

Step 2: Simplify the equation

Multiply $3$ by $3$ to simplify the equation. This gives us $9$, so the equation becomes $9 + 4Y = 67$.

Step 3: Isolate the term with Y

To find the value of $Y$, we need to isolate the term $4Y$. We do this by subtracting $9$ from both sides of the equation.

Step 4: Calculate the value of 4Y

Perform the subtraction on the right side of the equation: $67 - 9 = 58$. Now we have $4Y = 58$.

Step 5: Solve for Y

To find $Y$, divide both sides of the equation by $4$. This isolates $Y$ and gives us its value.

Step 6: Simplify the fraction

The fraction $\frac{58}{4}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $2$. This gives $Y = \frac{29}{2}$.

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