Simplify (6.15x+0.24y) divided by 1.5+5.9x-1.6y

asked by guest
on Apr 02, 2025 at 7:25 pm



You asked:

Simplify the expression: 6.15x+0.24y1.5+5.9x1.6y\frac{6.15 x + 0.24 y}{1.5} + 5.9 x - 1.6 y

MathBot Answer:

Simplified:

6.15x+0.24y1.5+5.9x1.6y=10x36y25 \frac{6.15 x + 0.24 y}{1.5} + 5.9 x - 1.6 y = 10 x - \frac{36 y}{25}


(x(6+151100)+24y100)1+5110+x(5+9110)y(1+6110)=(36)y25+41x10+x(5+910)=(36)y25+41x10+x5910=(36)y25+41x10+59x10=10x36y25\begin{aligned}\frac{\left(x \left(6 + 15 \cdot \frac{1}{100}\right) + \frac{24 y}{100}\right)}{1 + 5 \cdot \frac{1}{10}} + x \left(5 + 9 \cdot \frac{1}{10}\right) - y \left(1 + 6 \cdot \frac{1}{10}\right)&=\frac{\left(-36\right) y}{25} + \frac{41 x}{10} + x \left(5 + \frac{9}{10}\right)\\&=\frac{\left(-36\right) y}{25} + \frac{41 x}{10} + \frac{x 59}{10}\\&=\frac{\left(-36\right) y}{25} + \frac{41 x}{10} + \frac{59 x}{10}\\&=10 x - \frac{36 y}{25}\end{aligned}


Expanded:

6.15x+0.24y1.5+5.9x1.6y=10x36y25 \frac{6.15 x + 0.24 y}{1.5} + 5.9 x - 1.6 y = 10 x - \frac{36 y}{25}