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
- -6*x-10*y=11
- -17*x+17*y=-10
- Equation:
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Equation x^2+2x+1=0
-
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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15
- Derivative of:
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15
- Integral of d{x}:
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15
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Identical expressions
- sixteen *x- thirteen *y= fifteen
- 16 multiply by x minus 13 multiply by y equally 15
- sixteen multiply by x minus thirteen multiply by y equally fifteen
- 16x-13y=15
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Similar expressions
- 16*x+13*y=15
Express x in terms of y where 16*x-13*y=15
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:
$$16 x = 13 y + 15$$
Divide both parts of the equation by 16
We get the answer: x = 15/16 + 13*y/16
16*x-13*y = 15
Looking for similar summands in the left part:
-13*y + 16*x = 15
Move the summands with the other variables
from left part to right part, we given:
$$16 x = 13 y + 15$$
Divide both parts of the equation by 16
x = 15 + 13*y / (16)
We get the answer: x = 15/16 + 13*y/16
Rapid solution
[src]
15 13*re(y) 13*I*im(y)
x1 = -- + -------- + ----------
16 16 16
$$x_{1} = \frac{13 \operatorname{re}{\left(y\right)}}{16} + \frac{13 i \operatorname{im}{\left(y\right)}}{16} + \frac{15}{16}$$
x1 = 13*re(y)/16 + 13*i*im(y)/16 + 15/16