$3X+4Y=36$. If $X= 2$. what is Y?

Step 1: Substitute the value of X

We are given the equation $3X + 4Y = 36$ and the value $X = 2$. To find $Y$, we substitute the value of $X$ into the equation.

Step 2: Simplify the equation

After substituting $X=2$, we multiply $3$ by $2$ to simplify the equation. This gives us $6 + 4Y = 36$.

Step 3: Isolate the term with Y

To isolate the term containing $Y$, we subtract $6$ from both sides of the equation. This moves the constant term to the right side.

Step 4: Calculate the value

Now, we perform the subtraction on the right side of the equation: $36 - 6 = 30$. So, the equation becomes $4Y = 30$.

Step 5: Solve for Y

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

Step 6: Simplify the fraction

Finally, we simplify the fraction $\frac{30}{4}$. Both the numerator and denominator can be divided by $2$, resulting in $\frac{15}{2}$, which is $7.5$.

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