Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 4(x-1)=2(2x-8)+12
-
Equation x^2-18=7*x
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Equation (x-4)/4=(x+3)/7
- Equation 2*x+y=5
- Express {x} in terms of y where:
- 4*x+13*y=8
- 14*x+17*y=19
- 3*x-11*y=20
- -18*x-13*y=2
- 2*x+y
-
Identical expressions
- two *x+y= five
- 2 multiply by x plus y equally 5
- two multiply by x plus y equally five
- 2x+y=5
-
Similar expressions
- 2x+y=5
- 2*x-y=5
2*x+y=5 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
Looking for similar summands in the left part:
Move the summands with the other variables
from left part to right part, we given:
$$2 x = 5 - y$$
Divide both parts of the equation by 2
We get the answer: x = 5/2 - y/2
2*x+y = 5
Looking for similar summands in the left part:
y + 2*x = 5
Move the summands with the other variables
from left part to right part, we given:
$$2 x = 5 - y$$
Divide both parts of the equation by 2
x = 5 - y / (2)
We get the answer: x = 5/2 - y/2
The graph
Rapid solution
[src]
5 re(y) I*im(y)
x1 = - - ----- - -------
2 2 2
$$x_{1} = - \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + \frac{5}{2}$$
x1 = -re(y)/2 - i*im(y)/2 + 5/2
Sum and product of roots
[src]
sum
5 re(y) I*im(y) - - ----- - ------- 2 2 2
$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + \frac{5}{2}$$
=
5 re(y) I*im(y) - - ----- - ------- 2 2 2
$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + \frac{5}{2}$$
product
5 re(y) I*im(y) - - ----- - ------- 2 2 2
$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + \frac{5}{2}$$
=
5 re(y) I*im(y) - - ----- - ------- 2 2 2
$$- \frac{\operatorname{re}{\left(y\right)}}{2} - \frac{i \operatorname{im}{\left(y\right)}}{2} + \frac{5}{2}$$
5/2 - re(y)/2 - i*im(y)/2