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Beliebt Algebra >

a(x)=(b-5)x+2,b(x)=3x+2b

Lösung

a (x) = (b - 5) x + 2, b (x) = 3 x + 2 b

Lösung

a = \frac{- 2 x ^{2} + 12 x - 4}{x ( x - 2 )}, b = \frac{3 x}{x - 2}, x \neq = 0, x \neq = 2

Schritte zur Lösung

[a (x) = (b - 5) x + 2 b (x) = 3 x + 2 b]

Stelle

b

nach

b (x) = 3 x + 2 b

um:

b = \frac{3 x}{x - 2}; x \neq = 2

Ersetze

b = \frac{3 x}{x - 2}

[a x = (\frac{3 x}{x - 2} - 5) x + 2]

Vereinfache

[a x = \frac{- 2 x ^{2} + 10 x}{x - 2} + 2]

Stelle

a

nach

a x = \frac{- 2 x ^{2} + 10 x}{x - 2} + 2

um:

a = \frac{- 2 x ^{2} + 12 x - 4}{x ( x - 2 )}; x \neq = 0

Stelle

b

nach

x

um

b = \frac{3 x}{x - 2}

Die Lösungen für das Gleichungssystem sind:

a = \frac{- 2 x ^{2} + 12 x - 4}{x ( x - 2 )}, b = \frac{3 x}{x - 2}, x \neq = 0, x \neq = 2

Beliebte Beispiele

7x-3y=46,2x-9y=62

7 x - 3 y = 46, 2 x - 9 y = 62

13x+2y=1,5x-2y=-19

13 x + 2 y = 1, 5 x - 2 y = - 19

x+y=3,2x-1=4(3-y)

x + y = 3, 2 x - 1 = 4 (3 - y)

1/q 1=30,0q^2=200,p^1=8,p^2=1

\frac{1}{q} 1 = 30, 0 q^{2} = 200, p^{1} = 8, p^{2} = 1

2/x+2/y = 1/6 , 3/x+2/y =0

\frac{2}{x} + \frac{2}{y} = \frac{1}{6}, \frac{3}{x} + \frac{2}{y} = 0