Mister Exam
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How to use it?
- Equation:
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Equation 14/(x-3)=-7/9
-
Equation x^4+2*x^2-8=0
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Equation 9x−9(x+1)=−2x
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Equation x^4+4=0
- Express {x} in terms of y where:
- -17*x+1*y=-11
- 1*x+4*y=20
- -18*x-2*y=9
- -20*x-14*y=5
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Identical expressions
- fourteen /(x- three)=- seven / nine
- 14 divide by (x minus 3) equally minus 7 divide by 9
- fourteen divide by (x minus three) equally minus seven divide by nine
- 14/x-3=-7/9
- 14 divide by (x-3)=-7 divide by 9
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Similar expressions
- /3x-8/-7*/9-3x/=8
- 14/(x-3)=+7/9
- 14/(x+3)=-7/9
14/(x-3)=-7/9 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{14}{x - 3} = - \frac{7}{9}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
so we get the equation
$$\frac{\left(-9\right) 14}{7} = x - 3$$
$$-18 = x - 3$$
Move free summands (without x)
from left part to right part, we given:
$$0 = x + 15$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = 15$$
Divide both parts of the equation by -1
We get the answer: x = -15
$$\frac{14}{x - 3} = - \frac{7}{9}$$
Use proportions rule:
From a1/b1 = a2/b2 should a1*b2 = a2*b1,
In this case
a1 = 14
b1 = -3 + x
a2 = 1
b2 = -9/7
so we get the equation
$$\frac{\left(-9\right) 14}{7} = x - 3$$
$$-18 = x - 3$$
Move free summands (without x)
from left part to right part, we given:
$$0 = x + 15$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = 15$$
Divide both parts of the equation by -1
x = 15 / (-1)
We get the answer: x = -15
The graph