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- seven / nine :x= two / nine :(x- thirty-five)
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Similar expressions
- 7/9:x=2/9:(x+35)
7/9:x=2/9:(x-35) equation
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The solution
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7 2 --- = ---------- 9*x 9*(x - 35)
$$\frac{7}{9 x} = \frac{2}{9 \left(x - 35\right)}$$
Detail solution
Given the equation:
$$\frac{7}{9 x} = \frac{2}{9 \left(x - 35\right)}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
so we get the equation
$$\frac{7 \left(x - 35\right)}{9} = \frac{2 x}{9}$$
$$\frac{7 x}{9} - \frac{245}{9} = \frac{2 x}{9}$$
Move free summands (without x)
from left part to right part, we given:
$$\frac{7 x}{9} = \frac{2 x}{9} + \frac{245}{9}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{5 x}{9} = \frac{245}{9}$$
Divide both parts of the equation by 5/9
We get the answer: x = 49
$$\frac{7}{9 x} = \frac{2}{9 \left(x - 35\right)}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 7/9
b1 = x
a2 = 2/9
b2 = -35 + x
so we get the equation
$$\frac{7 \left(x - 35\right)}{9} = \frac{2 x}{9}$$
$$\frac{7 x}{9} - \frac{245}{9} = \frac{2 x}{9}$$
Move free summands (without x)
from left part to right part, we given:
$$\frac{7 x}{9} = \frac{2 x}{9} + \frac{245}{9}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{5 x}{9} = \frac{245}{9}$$
Divide both parts of the equation by 5/9
x = 245/9 / (5/9)
We get the answer: x = 49