12 X +13 Y is equal to 140 FX is equal to 4 what is the value of Y
Get the complete, step-by-step math solution for: "12 X +13 Y is equal to 140 FX is equal to 4 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 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.