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

Answer: Y=Y = 9213\frac{92}{13}

Step-by-step solution

Step 1: Substitute the value of X

We are given the equation 12X+13Y=14012X + 13Y = 140 and the value of X=4X = 4. To find the value of YY, we substitute X=4X = 4 into the equation.

Step 2: Simplify the equation

Next, we multiply 1212 by 44 to simplify the equation. This gives us 48+48 + 13Y=14013Y = 140.

Step 3: Isolate the term with Y

To isolate the term with YY, we subtract 4848 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=92140 - 48 = 92. So, the equation becomes 13Y=9213Y = 92.

Step 5: Solve for Y

Finally, to solve for YY, we divide both sides of the equation by 1313. This gives us the value of Y.

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