Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x+970=69*32
- Equation x^4-50*x^2+49=0
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Equation (x^2-4)^2+(x^2-3x-10)^2=0
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Equation 3^x=7
- Express {x} in terms of y where:
- 1*x+6*y=-6
- -5*x+6*y=-8
- -2*x-9*y=10
- 11*x-12*y=11
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Identical expressions
- (three x- eleven)/ four =(3-5x)/ eight
- (3x minus 11) divide by 4 equally (3 minus 5x) divide by 8
- (three x minus eleven) divide by four equally (3 minus 5x) divide by eight
- 3x-11/4=3-5x/8
- (3x-11) divide by 4=(3-5x) divide by 8
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Similar expressions
- (3x+11)/4=(3-5x)/8
- (3x-11)/4=(3+5x)/8
(3x-11)/4=(3-5x)/8 equation
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The solution
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[src]
3*x - 11 3 - 5*x -------- = ------- 4 8
$$\frac{3 x - 11}{4} = \frac{3 - 5 x}{8}$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Move free summands (without x)
from left part to right part, we given:
$$\frac{3 x}{4} = \frac{25}{8} - \frac{5 x}{8}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{11 x}{8} = \frac{25}{8}$$
Divide both parts of the equation by 11/8
We get the answer: x = 25/11
(3*x-11)/4 = (3-5*x)/8
Expand brackets in the left part
3*x/4-11/4 = (3-5*x)/8
Expand brackets in the right part
3*x/4-11/4 = 3/8-5*x/8
Move free summands (without x)
from left part to right part, we given:
$$\frac{3 x}{4} = \frac{25}{8} - \frac{5 x}{8}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{11 x}{8} = \frac{25}{8}$$
Divide both parts of the equation by 11/8
x = 25/8 / (11/8)
We get the answer: x = 25/11
Sum and product of roots
[src]
sum
25 -- 11
$$\frac{25}{11}$$
=
25 -- 11
$$\frac{25}{11}$$
product
25 -- 11
$$\frac{25}{11}$$
=
25 -- 11
$$\frac{25}{11}$$
25/11