Mister Exam
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How to use it?
- Equation:
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Equation sinx=1
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Equation cosx=1/2
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Equation sqrt(x)+1=x-1
- Equation (9525+15031+11519+11193+10272+11826+10482+11932+12586+x)/10=11000
- Express {x} in terms of y where:
- 12*10^(-30)-0,1884*10^12*x^2-y(0,3768*10^12*x+1,183152*10^12*x^3)+y^2(2,760688*10^24*x^2)=0=0
- (x^2+y^2)×(x+y-3)=2xy
- lnx^y=ln1
- sqrt(1-x)^2+(4-y)^2=0
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Identical expressions
- zero ,35x+ zero ,6y= two hundred and ten * zero , four
- 0,35x plus 0,6y equally 210 multiply by 0,4
- zero ,35x plus zero ,6y equally two hundred and ten multiply by zero , four
- 0,35x+0,6y=2100,4
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Similar expressions
- 0,35x-0,6y=210*0,4
0,35x+0,6y=210*0,4 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
7*x 3*y 2*210 --- + --- = ----- 20 5 5
$$\frac{7 x}{20} + \frac{3 y}{5} = \frac{2 \cdot 210}{5}$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Looking for similar summands in the left part:
Move the summands with the other variables
from left part to right part, we given:
$$\frac{7 x}{20} = 84 - \frac{3 y}{5}$$
Divide both parts of the equation by 7/20
We get the answer: x = 240 - 12*y/7
(7/20)*x+(3/5)*y = 210*(2/5)
Expand brackets in the left part
7/20x+3/5y = 210*(2/5)
Expand brackets in the right part
7/20x+3/5y = 210*2/5
Looking for similar summands in the left part:
3*y/5 + 7*x/20 = 210*2/5
Move the summands with the other variables
from left part to right part, we given:
$$\frac{7 x}{20} = 84 - \frac{3 y}{5}$$
Divide both parts of the equation by 7/20
x = 84 - 3*y/5 / (7/20)
We get the answer: x = 240 - 12*y/7
The graph
Rapid solution
[src]
12*re(y) 12*I*im(y)
x1 = 240 - -------- - ----------
7 7
$$x_{1} = - \frac{12 \operatorname{re}{\left(y\right)}}{7} - \frac{12 i \operatorname{im}{\left(y\right)}}{7} + 240$$
x1 = -12*re(y)/7 - 12*i*im(y)/7 + 240
Sum and product of roots
[src]
sum
12*re(y) 12*I*im(y)
240 - -------- - ----------
7 7
$$- \frac{12 \operatorname{re}{\left(y\right)}}{7} - \frac{12 i \operatorname{im}{\left(y\right)}}{7} + 240$$
=
12*re(y) 12*I*im(y)
240 - -------- - ----------
7 7
$$- \frac{12 \operatorname{re}{\left(y\right)}}{7} - \frac{12 i \operatorname{im}{\left(y\right)}}{7} + 240$$
product
12*re(y) 12*I*im(y)
240 - -------- - ----------
7 7
$$- \frac{12 \operatorname{re}{\left(y\right)}}{7} - \frac{12 i \operatorname{im}{\left(y\right)}}{7} + 240$$
=
12*re(y) 12*I*im(y)
240 - -------- - ----------
7 7
$$- \frac{12 \operatorname{re}{\left(y\right)}}{7} - \frac{12 i \operatorname{im}{\left(y\right)}}{7} + 240$$
240 - 12*re(y)/7 - 12*i*im(y)/7