Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- -6*x+11*y=-5
- -3*x-19*y=-9
- 16*x+14*y=-14
- 3*x-14*y=-2
- Equation:
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Equation x^3=3
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Equation 5-x^2=0
- Equation (-5*x+3)*(-x+8)=0
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Equation 5x^2+9x+4=0
- Sum of series:
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-13
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Identical expressions
- three *x- twenty *y=- thirteen
- 3 multiply by x minus 20 multiply by y equally minus 13
- three multiply by x minus twenty multiply by y equally minus thirteen
- 3x-20y=-13
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Similar expressions
- 3*x+20*y=-13
- 3*x-20*y=+13
Express x in terms of y where 3*x-20*y=-13
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:
$$3 x = 20 y - 13$$
Divide both parts of the equation by 3
We get the answer: x = -13/3 + 20*y/3
3*x-20*y = -13
Looking for similar summands in the left part:
-20*y + 3*x = -13
Move the summands with the other variables
from left part to right part, we given:
$$3 x = 20 y - 13$$
Divide both parts of the equation by 3
x = -13 + 20*y / (3)
We get the answer: x = -13/3 + 20*y/3
Rapid solution
[src]
13 20*re(y) 20*I*im(y)
x1 = - -- + -------- + ----------
3 3 3
$$x_{1} = \frac{20 \operatorname{re}{\left(y\right)}}{3} + \frac{20 i \operatorname{im}{\left(y\right)}}{3} - \frac{13}{3}$$
x1 = 20*re(y)/3 + 20*i*im(y)/3 - 13/3