5X+14Y=1679. X=20. What is value of Y?
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Step-by-Step Solution
Step 1: Substitute the value of X
We are given the equation 5X+14Y=1679 and the value of X=20. The first step is to substitute the value of X into the equation.
Step 2: Simplify the equation
Multiply 5 by 20 to simplify the equation. This gives us 100, so the equation becomes 100+14Y=1679.
Step 3: Isolate the term with Y
To find the value of Y, we need to isolate the term 14Y. We do this by subtracting 100 from both sides of the equation.
Step 4: Calculate the value of 14Y
Perform the subtraction on the right side of the equation: 1679−100=1579. Now we have 14Y=1579.
Step 5: Solve for Y
To find Y, divide both sides of the equation by 14. This isolates Y and gives us its value.
Step 6: Perform the division
Dividing 1579 by 14 gives us a decimal value. The exact value is 112.[number removed]... which can be rounded or kept as a fraction depending on the required precision.