What is 1/2 a+1/3 b+2a-3b-3/4 a-1/6 b ?

The solution to 1/2 a+1/3 b+2a-3b-3/4 a-1/6 b is (7a)/4-(17b)/6

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simplify 1/2 a+1/3 b+2a-3b-3/4 a-1/6 b

simplify

\frac{1}{2} a + \frac{1}{3} b + 2 a - 3 b - \frac{3}{4} a - \frac{1}{6} b

\frac{7 a}{4} - \frac{17 b}{6}

Solution steps

\frac{1}{2} a + \frac{1}{3} b + 2 a - 3 b - \frac{3}{4} a - \frac{1}{6} b

Group like terms

= \frac{1}{2} a - \frac{3}{4} a + 2 a + \frac{1}{3} b - 3 b - \frac{1}{6} b

Add similar elements:

\frac{1}{2} a - \frac{3}{4} a + 2 a = \frac{7}{4} a

= \frac{7}{4} a + \frac{1}{3} b - 3 b - \frac{1}{6} b

Add similar elements:

\frac{1}{3} b - 3 b - \frac{1}{6} b = - \frac{17}{6} b

= \frac{7}{4} a - \frac{17}{6} b

Multiply

\frac{7}{4} a : \frac{7 a}{4}

= \frac{7 a}{4} - \frac{17}{6} b

Multiply

\frac{17}{6} b : \frac{17 b}{6}

= \frac{7 a}{4} - \frac{17 b}{6}

(4 - 5 y) - (2 y - 16)

lo g_{5} (\frac{1}{2})

6 a^{2} b - 2 a b^{3}

3 i (2 + 5 i) + (6 - 7 i) - (9 + i)

(x + y - z)^{2}

What is 1/2 a+1/3 b+2a-3b-3/4 a-1/6 b ?
The solution to 1/2 a+1/3 b+2a-3b-3/4 a-1/6 b is (7a)/4-(17b)/6