Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation sin(2*x)=-1/2
-
Equation x+(7-2x)=10
-
Equation x-2=-3x
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Equation (x-1)*(x+1)=0
- Express {x} in terms of y where:
- -10*x+7*y=-12
- -15*x+3*y=8
- 18*x-10*y=-9
- -1*x+11*y=-9
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Identical expressions
- fourteen /(x+ three)=- seven / nine
- 14 divide by (x plus 3) equally minus 7 divide by 9
- fourteen divide by (x plus 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
- 14/(x-3)=-7/9
- 14/x+3,14x=0
- 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:
$$0 = x + 21$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = 21$$
Divide both parts of the equation by -1
We get the answer: x = -21
$$\frac{14}{x + 3} = - \frac{7}{9}$$
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:
$$0 = x + 21$$
Move the summands with the unknown x
from the right part to the left part:
$$- x = 21$$
Divide both parts of the equation by -1
x = 21 / (-1)
We get the answer: x = -21