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If (1)/(5)h+25=d, which of the following expressions is equivalent to h ?

If 15h+25=d \frac{1}{5} h+25=d , which of the following expressions is equivalent to h h ?

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Full solution

Q. If 15h+25=d \frac{1}{5} h+25=d , which of the following expressions is equivalent to h h ?
  1. Given Equation: We are given the equation:\newline rac{1}{5}h + 25 = d\newlineThe goal is to solve for hh in terms of dd.\newlineFirst, we need to isolate the term containing hh on one side of the equation.\newlineSubtract 2525 from both sides of the equation to get:\newline rac{1}{5}h = d - 25
  2. Isolate Term: Now, to solve for hh, we need to get rid of the fraction.\newlineMultiply both sides of the equation by 55 to eliminate the denominator:\newline5×(15h)=5×(d−25)5 \times \left(\frac{1}{5}h\right) = 5 \times (d - 25)\newlineThis simplifies to:\newlineh=5d−125h = 5d - 125
  3. Eliminate Fraction: We have now isolated hh and expressed it in terms of dd. The equivalent expression for hh in terms of dd is: h=5d−125h = 5d - 125

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