Math  /  Algebra

Question12=54w+53-\frac{1}{2}=-\frac{5}{4} w+\frac{5}{3}

Studdy Solution
Check the solution by substituting w=2615 w = \frac{26}{15} back into the original equation:
12=54(2615)+53 -\frac{1}{2} = -\frac{5}{4} \left(\frac{26}{15}\right) + \frac{5}{3}
Calculate the right side:
5×264×15+53 -\frac{5 \times 26}{4 \times 15} + \frac{5}{3}
13060+53 -\frac{130}{60} + \frac{5}{3}
Simplify 13060-\frac{130}{60} to 136-\frac{13}{6}:
136+53 -\frac{13}{6} + \frac{5}{3}
Convert 53\frac{5}{3} to 106\frac{10}{6} to combine the fractions:
136+106=36=12 -\frac{13}{6} + \frac{10}{6} = -\frac{3}{6} = -\frac{1}{2}
The left side equals the right side, confirming the solution is correct.
The solution is:
2615 \boxed{\frac{26}{15}}

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