Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- 12*x+5*y=7
- 5*x-19*y=-11
- -9*x+17*y=-4
- -15*x-12*y=14
- Equation:
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Equation sin(x)=cos(x)
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Equation cos(x)=(-1/2)
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Equation sin(x-1)=0
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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 plus 13 multiply by y equally 15
- sixteen multiply by x plus 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:
$$16 x = 15 - 13 y$$
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:
$$16 x = 15 - 13 y$$
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