5X+14Y=16795X+14Y=1679. X=20X=20. What is value of Y?

Answer: Y=157914Y = \frac{1579}{14} or Y≈112.79Y \approx 112.79

Step-by-step solution

Step 1: Substitute the value of X

We are given the equation 5X+14Y=16795X + 14Y = 1679 and the value of X=20X = 20. The first step is to substitute the value of XX into the equation.

Step 2: Simplify the equation

Multiply 55 by 2020 to simplify the equation. This gives us 100100, so the equation becomes 100+14Y=1679100 + 14Y = 1679.

Step 3: Isolate the term with Y

To find the value of YY, we need to isolate the term 14Y14Y. We do this by subtracting 100100 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=15791679 - 100 = 1579. Now we have 14Y=157914Y = 1579.

Step 5: Solve for Y

To find YY, divide both sides of the equation by 1414. This isolates YY and gives us its value.

Step 6: Perform the division

Dividing 15791579 by 1414 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.

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