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- Equation:
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Equation 10/(x+7)=-5/8
-
Equation z^6=-1
- Equation X÷4=20×2
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Equation 2sinx=5cosx
- Express {x} in terms of y where:
- 9*x+18*y=6
- 15*x-15*y=16
- (x^2+y^2-1)^3+x^2*y^3=0
- -1*x-19*y=-10
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Identical expressions
- ten /(x+ seven)=- five / eight
- 10 divide by (x plus 7) equally minus 5 divide by 8
- ten divide by (x plus seven) equally minus five divide by eight
- 10/x+7=-5/8
- 10 divide by (x+7)=-5 divide by 8
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Similar expressions
- 2-10/x+7/x=1/(x^2+2*x)
- 10/(x+7)=+5/8
- 10/(x-7)=-5/8
10/(x+7)=-5/8 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{10}{x + 7} = - \frac{5}{8}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
so we get the equation
$$\frac{\left(-8\right) 10}{5} = x + 7$$
$$-16 = x + 7$$
Move free summands (without x)
from left part to right part, we given:
$$0 = x + 23$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = 23$$
Divide both parts of the equation by -1
We get the answer: x = -23
$$\frac{10}{x + 7} = - \frac{5}{8}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 10
b1 = 7 + x
a2 = 1
b2 = -8/5
so we get the equation
$$\frac{\left(-8\right) 10}{5} = x + 7$$
$$-16 = x + 7$$
Move free summands (without x)
from left part to right part, we given:
$$0 = x + 23$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = 23$$
Divide both parts of the equation by -1
x = 23 / (-1)
We get the answer: x = -23
The graph