Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- -16*x-5*y=-14
- 2*x-7*y=-20
- 3*x-20*y=-9
- -6*x-13*y=2
- Equation:
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Equation cos(x)-1=0
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Equation 6*x^2+x-7=0
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Equation 11x-6x+17=2042
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Equation (2*x-1)/(x-1)^2=0
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Identical expressions
- two *x- seven *y=- twenty
- 2 multiply by x minus 7 multiply by y equally minus 20
- two multiply by x minus seven multiply by y equally minus twenty
- 2x-7y=-20
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Similar expressions
- 2*x-7*y=+20
- 2*x+7*y=-20
Express x in terms of y where 2*x-7*y=-20
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:
$$2 x = 7 y - 20$$
Divide both parts of the equation by 2
We get the answer: x = -10 + 7*y/2
2*x-7*y = -20
Looking for similar summands in the left part:
-7*y + 2*x = -20
Move the summands with the other variables
from left part to right part, we given:
$$2 x = 7 y - 20$$
Divide both parts of the equation by 2
x = -20 + 7*y / (2)
We get the answer: x = -10 + 7*y/2
Rapid solution
[src]
7*re(y) 7*I*im(y)
x1 = -10 + ------- + ---------
2 2
$$x_{1} = \frac{7 \operatorname{re}{\left(y\right)}}{2} + \frac{7 i \operatorname{im}{\left(y\right)}}{2} - 10$$
x1 = 7*re(y)/2 + 7*i*im(y)/2 - 10