Mister Exam
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How to use it?
- Equation:
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Equation 4-6*(x+2)=3-5*x
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Equation 1/(x-3)^2-3/(x-3)-4=0
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Equation (x-2)/(x-7)=5/8
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Equation 6/(x+5)=-5
- Express {x} in terms of y where:
- 6*x+17*y=3
- 20*x+7*y=-9
- -17*x+18*y=10
- 6*x-9*y=18
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Identical expressions
- (x- two)/(x- seven)= five / eight
- (x minus 2) divide by (x minus 7) equally 5 divide by 8
- (x minus two) divide by (x minus seven) equally five divide by eight
- x-2/x-7=5/8
- (x-2) divide by (x-7)=5 divide by 8
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Similar expressions
- (x-2)/(x+7)=5/8
- (3sqrt(x-1)*sqrt(x-2))/x-7=0
- (x+2)/(x-7)=5/8
(x-2)/(x-7)=5/8 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$\frac{x - 2}{x - 7} = \frac{5}{8}$$
Multiply the equation sides by the denominator -7 + x
we get:
$$x - 2 = \frac{5 x}{8} - \frac{35}{8}$$
Move free summands (without x)
from left part to right part, we given:
$$x = \frac{5 x}{8} - \frac{19}{8}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{3 x}{8} = - \frac{19}{8}$$
Divide both parts of the equation by 3/8
We get the answer: x = -19/3
$$\frac{x - 2}{x - 7} = \frac{5}{8}$$
Multiply the equation sides by the denominator -7 + x
we get:
$$x - 2 = \frac{5 x}{8} - \frac{35}{8}$$
Move free summands (without x)
from left part to right part, we given:
$$x = \frac{5 x}{8} - \frac{19}{8}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{3 x}{8} = - \frac{19}{8}$$
Divide both parts of the equation by 3/8
x = -19/8 / (3/8)
We get the answer: x = -19/3
Sum and product of roots
[src]
sum
-19/3
$$- \frac{19}{3}$$
=
-19/3
$$- \frac{19}{3}$$
product
-19/3
$$- \frac{19}{3}$$
=
-19/3
$$- \frac{19}{3}$$
-19/3
The graph