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Solve the equation.

{:[6=(3)/(5)y],[y=]:}

Solve the equation.\newline6=35yy= \begin{array}{l} 6=\frac{3}{5} y \\ y= \end{array}

Full solution

Q. Solve the equation.\newline6=35yy= \begin{array}{l} 6=\frac{3}{5} y \\ y= \end{array}
  1. Identify equation: Identify the equation to solve.\newlineWe have the equation 6=(35)y6 = \left(\frac{3}{5}\right)y, and we need to find the value of yy.
  2. Isolate variable: Isolate the variable yy. To isolate yy, we need to get rid of the fraction (35)(\frac{3}{5}) that is being multiplied by yy. We can do this by multiplying both sides of the equation by the reciprocal of (35)(\frac{3}{5}), which is (53)(\frac{5}{3}).
  3. Multiply by reciprocal: Multiply both sides of the equation by (53)(\frac{5}{3}).(53)×6=(53)×(35)y(\frac{5}{3}) \times 6 = (\frac{5}{3}) \times (\frac{3}{5})y
  4. Simplify equation: Simplify both sides of the equation.\newlineOn the right side, (53)×(35)=1(\frac{5}{3}) \times (\frac{3}{5}) = 1, so we are left with yy on the right side.\newlineOn the left side, (53)×6=5×2=10(\frac{5}{3}) \times 6 = 5 \times 2 = 10.\newlineSo, y=10y = 10.