Solve -5x-2y+15/4--3x+5y-4/3=

$$\frac { - 5 x - 2 y + 15 } { 4 } - \frac { - 3 x + 5 y - 4 } { 3 } =$$

Evaluate

$$-\frac{x}{4}-\frac{13y}{6}+\frac{61}{12}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 3 is 12. Multiply \frac{-5x-2y+15}{4} times \frac{3}{3}. Multiply \frac{-3x+5y-4}{3} times \frac{4}{4}.

$$\frac{3\left(-5x-2y+15\right)}{12}-\frac{4\left(-3x+5y-4\right)}{12}$$

Since \frac{3\left(-5x-2y+15\right)}{12} and \frac{4\left(-3x+5y-4\right)}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\left(-5x-2y+15\right)-4\left(-3x+5y-4\right)}{12}$$

Do the multiplications in 3\left(-5x-2y+15\right)-4\left(-3x+5y-4\right).

$$\frac{-15x-6y+45+12x-20y+16}{12}$$

Combine like terms in -15x-6y+45+12x-20y+16.

$$\frac{-3x-26y+61}{12}$$

Expand

$$-\frac{x}{4}-\frac{13y}{6}+\frac{61}{12}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 4 and 3 is 12. Multiply \frac{-5x-2y+15}{4} times \frac{3}{3}. Multiply \frac{-3x+5y-4}{3} times \frac{4}{4}.

$$\frac{3\left(-5x-2y+15\right)}{12}-\frac{4\left(-3x+5y-4\right)}{12}$$

Since \frac{3\left(-5x-2y+15\right)}{12} and \frac{4\left(-3x+5y-4\right)}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3\left(-5x-2y+15\right)-4\left(-3x+5y-4\right)}{12}$$

Do the multiplications in 3\left(-5x-2y+15\right)-4\left(-3x+5y-4\right).

$$\frac{-15x-6y+45+12x-20y+16}{12}$$

Combine like terms in -15x-6y+45+12x-20y+16.

$$\frac{-3x-26y+61}{12}$$