Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- 7*x+6*y=-1
- -12*x+13*y=-15
- -18*x+15*y=-14
- 20*x+16*y=3
- Equation:
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Equation sinx=1
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Equation x^2+5*x-14=0
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Equation -2*x-7=-4*x
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Equation x+4|x|=3
- Sum of series:
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10
- Derivative of:
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10
- Integral of d{x}:
-
10
-
Identical expressions
- - five *x+ three *y= ten
- minus 5 multiply by x plus 3 multiply by y equally 10
- minus five multiply by x plus three multiply by y equally ten
- -5x+3y=10
-
Similar expressions
- 5*x+3*y=10
- -5*x-3*y=10
Express x in terms of y where -5*x+3*y=10
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:
$$- 5 x = 10 - 3 y$$
Divide both parts of the equation by -5
We get the answer: x = -2 + 3*y/5
-5*x+3*y = 10
Looking for similar summands in the left part:
-5*x + 3*y = 10
Move the summands with the other variables
from left part to right part, we given:
$$- 5 x = 10 - 3 y$$
Divide both parts of the equation by -5
x = 10 - 3*y / (-5)
We get the answer: x = -2 + 3*y/5
Rapid solution
[src]
3*re(y) 3*I*im(y)
x1 = -2 + ------- + ---------
5 5
$$x_{1} = \frac{3 \operatorname{re}{\left(y\right)}}{5} + \frac{3 i \operatorname{im}{\left(y\right)}}{5} - 2$$
x1 = 3*re(y)/5 + 3*i*im(y)/5 - 2