Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- 18*x-20*y=-7
- 18*x-12*y=-20
- -13*x+7*y=11
- -19*x-14*y=-8
- Equation:
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Equation x^2+9=(x+9)^2
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Equation cos(x)=-1
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Equation (x-1)/(5-x)=2/9
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Equation 2*x^2-x-1=x^2-5*x-(-1-x^2)
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Identical expressions
- eighteen *x- twelve *y=- twenty
- 18 multiply by x minus 12 multiply by y equally minus 20
- eighteen multiply by x minus twelve multiply by y equally minus twenty
- 18x-12y=-20
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Similar expressions
- 18*x-12*y=+20
- 18*x+12*y=-20
Express x in terms of y where 18*x-12*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:
$$18 x = 12 y - 20$$
Divide both parts of the equation by 18
We get the answer: x = -10/9 + 2*y/3
18*x-12*y = -20
Looking for similar summands in the left part:
-12*y + 18*x = -20
Move the summands with the other variables
from left part to right part, we given:
$$18 x = 12 y - 20$$
Divide both parts of the equation by 18
x = -20 + 12*y / (18)
We get the answer: x = -10/9 + 2*y/3
Rapid solution
[src]
10 2*re(y) 2*I*im(y)
x1 = - -- + ------- + ---------
9 3 3
$$x_{1} = \frac{2 \operatorname{re}{\left(y\right)}}{3} + \frac{2 i \operatorname{im}{\left(y\right)}}{3} - \frac{10}{9}$$
x1 = 2*re(y)/3 + 2*i*im(y)/3 - 10/9