Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- -9*x+12*y=-17
- -2*x-5*y=-12
- 13*x+6*y=17
- 11*x-16*y=-11
- Equation:
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Equation 5-x^2=0
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Equation sin(x)=√3/2
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Equation x/3+x/4=-21
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Equation sin(x)=-3/2
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Identical expressions
- twelve *x+ five *y= seven
- 12 multiply by x plus 5 multiply by y equally 7
- twelve multiply by x plus five multiply by y equally seven
- 12x+5y=7
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Similar expressions
- 12*x-5*y=7
Express x in terms of y where 12*x+5*y=7
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:
$$12 x = 7 - 5 y$$
Divide both parts of the equation by 12
We get the answer: x = 7/12 - 5*y/12
12*x+5*y = 7
Looking for similar summands in the left part:
5*y + 12*x = 7
Move the summands with the other variables
from left part to right part, we given:
$$12 x = 7 - 5 y$$
Divide both parts of the equation by 12
x = 7 - 5*y / (12)
We get the answer: x = 7/12 - 5*y/12
Rapid solution
[src]
7 5*re(y) 5*I*im(y)
x1 = -- - ------- - ---------
12 12 12
$$x_{1} = - \frac{5 \operatorname{re}{\left(y\right)}}{12} - \frac{5 i \operatorname{im}{\left(y\right)}}{12} + \frac{7}{12}$$
x1 = -5*re(y)/12 - 5*i*im(y)/12 + 7/12