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5y=3478-3c In the given equation, c is a constant. If y=8 is a solution to the equation, what is the value of c ?

5y=3478−3c 5 y=3478-3 c \newlineIn the given equation, c c is a constant. If y=8 y=8 is a solution to the equation, what is the value of c c ?

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Full solution

Q. 5y=3478−3c 5 y=3478-3 c \newlineIn the given equation, c c is a constant. If y=8 y=8 is a solution to the equation, what is the value of c c ?
  1. Given Equation and Information: We are given the equation 5y=3478−3c5y = 3478 - 3c and the information that y=8y = 8 is a solution to this equation. To find the value of cc, we need to substitute y=8y = 8 into the equation and solve for cc.
  2. Substitute y=8y = 8: Substitute y=8y = 8 into the equation: 5(8)=3478−3c5(8) = 3478 - 3c.
  3. Perform Multiplication: Perform the multiplication: 40=3478−3c40 = 3478 - 3c.
  4. Isolate Term with c: To isolate the term containing c, we need to subtract 34783478 from both sides of the equation: 40−3478=−3c40 - 3478 = -3c.
  5. Calculate Left Side: Calculate the left side of the equation: −3438=−3c-3438 = -3c.
  6. Solve for c: To solve for c, divide both sides of the equation by −3-3: c=−3438−3c = \frac{-3438}{-3}.
  7. Perform Division: Perform the division to find the value of cc: c=1146c = 1146.

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