Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- -18*x+19*y=2
- 4*x+7*y=-20
- -17*x+17*y=-10
- 17*x+19*y=18
- Equation:
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Equation x^2+2x+1=0
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Equation cos(x/2)=1/2
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Equation sin(x)=1,5
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Equation 32*x=2
- Sum of series:
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-18
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Identical expressions
- eleven *x- nineteen *y=- eighteen
- 11 multiply by x minus 19 multiply by y equally minus 18
- eleven multiply by x minus nineteen multiply by y equally minus eighteen
- 11x-19y=-18
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Similar expressions
- 11*x+19*y=-18
- 11*x-19*y=+18
Express x in terms of y where 11*x-19*y=-18
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:
$$11 x = 19 y - 18$$
Divide both parts of the equation by 11
We get the answer: x = -18/11 + 19*y/11
11*x-19*y = -18
Looking for similar summands in the left part:
-19*y + 11*x = -18
Move the summands with the other variables
from left part to right part, we given:
$$11 x = 19 y - 18$$
Divide both parts of the equation by 11
x = -18 + 19*y / (11)
We get the answer: x = -18/11 + 19*y/11
Rapid solution
[src]
18 19*re(y) 19*I*im(y)
x1 = - -- + -------- + ----------
11 11 11
$$x_{1} = \frac{19 \operatorname{re}{\left(y\right)}}{11} + \frac{19 i \operatorname{im}{\left(y\right)}}{11} - \frac{18}{11}$$
x1 = 19*re(y)/11 + 19*i*im(y)/11 - 18/11