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

The solution to 1/2 a+1/3 b+2a-3b-3/4 a-1/6 b+3/4 is (21a-34b)/(12)+3/4

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

simplify

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

\frac{21 a - 34 b}{12} + \frac{3}{4}

Solution steps

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

Factor out common term

a

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

Factor out common term

b

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

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

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

= a \frac{7}{4} - b \frac{17}{6} + \frac{3}{4}

a \frac{7}{4} = \frac{a \cdot 7}{4}

b \frac{17}{6} = \frac{b \cdot 17}{6}

= \frac{a \cdot 7}{4} - \frac{b \cdot 17}{6} + \frac{3}{4}

Join

\frac{a \cdot 7}{4} - \frac{b \cdot 17}{6} + \frac{3}{4} : \frac{21 a - 34 b}{12} + \frac{3}{4}

= \frac{21 a - 34 b}{12} + \frac{3}{4}

d - 26 = 7

w^{2} - 8 w + 3 = 0

x^{4} + 3 x^{3} - x^{2} - 3 x

2 x + 8 = 4

6^{2} + 24 (2) \leq \frac{( 5 x + 4 x )}{2}

What is 1/2 a+1/3 b+2a-3b-3/4 a-1/6 b+3/4 ?
The solution to 1/2 a+1/3 b+2a-3b-3/4 a-1/6 b+3/4 is (21a-34b)/(12)+3/4