Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- -8*x-2*y=-11
- 19*x-20*y=-7
- -3*x+1*y=3
- -5*x-20*y=-3
- Equation:
- Equation (a-2)(b+5)=(a-2)b+(a-2)5
-
Equation x^2-x-7=0
- Equation (x^2+a)/x+x/(x^2+a)=-5/2
-
Equation x^2-6x+13=0
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Identical expressions
- - three *x+ one *y= three
- minus 3 multiply by x plus 1 multiply by y equally 3
- minus three multiply by x plus one multiply by y equally three
- -3x+1y=3
-
Similar expressions
- -3*x-1*y=3
- 3*x+1*y=3
Express x in terms of y where -3*x+1*y=3
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:
$$- 3 x = 3 - y$$
Divide both parts of the equation by -3
We get the answer: x = -1 + y/3
-3*x+1*y = 3
Looking for similar summands in the left part:
y - 3*x = 3
Move the summands with the other variables
from left part to right part, we given:
$$- 3 x = 3 - y$$
Divide both parts of the equation by -3
x = 3 - y / (-3)
We get the answer: x = -1 + y/3
Rapid solution
[src]
re(y) I*im(y)
x1 = -1 + ----- + -------
3 3
$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{3} + \frac{i \operatorname{im}{\left(y\right)}}{3} - 1$$
x1 = re(y)/3 + i*im(y)/3 - 1