Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- -10*x+16*y=-6
- -11*x-14*y=-3
- 4*x-1*y=-3
- 1*x+5*y=-11
- Equation:
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Equation (-5*x-3)*(2*x-1)=0
- Equation x^2-1=1+(1/2)*y
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Equation 5-2(x-1)=4-x
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Equation x^2+x-4=0
- Integral of d{x}:
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-3
- Derivative of:
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-3
- Sum of series:
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-3
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Identical expressions
- four *x- one *y=- three
- 4 multiply by x minus 1 multiply by y equally minus 3
- four multiply by x minus one multiply by y equally minus three
- 4x-1y=-3
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Similar expressions
- 4*x+1*y=-3
- 4*x-1*y=+3
Express x in terms of y where 4*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:
$$4 x = y - 3$$
Divide both parts of the equation by 4
We get the answer: x = -3/4 + y/4
4*x-1*y = -3
Looking for similar summands in the left part:
-y + 4*x = -3
Move the summands with the other variables
from left part to right part, we given:
$$4 x = y - 3$$
Divide both parts of the equation by 4
x = -3 + y / (4)
We get the answer: x = -3/4 + y/4
Rapid solution
[src]
3 re(y) I*im(y)
x1 = - - + ----- + -------
4 4 4
$$x_{1} = \frac{\operatorname{re}{\left(y\right)}}{4} + \frac{i \operatorname{im}{\left(y\right)}}{4} - \frac{3}{4}$$
x1 = re(y)/4 + i*im(y)/4 - 3/4