3X plus 5Y is equal to 40 X is equal to 2 what is the value of Y

Get the complete, step-by-step math solution for: "3X plus 5Y is equal to 40 X is equal to 2 what is the value of Y...". Powered by SolveForX AI math tutor.

Step-by-Step Solution

Step 1: Substitute the value of $x$

We are given the equation $3x + 5y = 40$ and the value of $x = 2$. To find the value of $y$, we substitute $x = 2$ 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 + 5y = 40.

Step 3: Isolate the term with $y$

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

Step 4: Calculate the value of $5y$

Subtracting $6$ from $40$ gives us $34$. So, the equation becomes $5y = 34.

Step 5: Solve for $y$

To find the value of $y$, we divide both sides of the equation by $5$. This isolates $y$ and gives us its final value.