5X+7Y=375X+7Y = 37. If X=2X = 2 What is Y?

Answer: Y=277Y = \frac{27}{7}

Step-by-step solution

Step 1: Substitute the value of XX

We are given the linear equation 5X+7Y=375X + 7Y = 37 and the value X=2X = 2. Substitute 22 in place of XX in the given equation.

Step 2: Simplify and isolate the term with YY

Multiply 55 by 22 to get 1010. Then, subtract 1010 from both sides of the equation to isolate the term with YY, which gives 7Y=277Y = 27.

Step 3: Solve for YY

Divide both sides by 77 to solve for YY. Since 2727 and 77 share no common factors other than 11, the answer is 277\frac{27}{7} (or 3673\frac{6}{7}).

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