Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- 7*x-2*y=18
- 18*x+19*y=7
- 8*x-13*y=-12
- -10*x+13*y=5
- Equation:
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Equation 2*x^2+5*x-12=0
-
Equation x^2+2x-8=0
-
Equation 6x+2=-1
- Equation (x^2-25)^2+(x^2+3x-10)^2=0
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Identical expressions
- - ten *x+ thirteen *y= five
- minus 10 multiply by x plus 13 multiply by y equally 5
- minus ten multiply by x plus thirteen multiply by y equally five
- -10x+13y=5
-
Similar expressions
- 10*x+13*y=5
- -10*x-13*y=5
Express x in terms of y where -10*x+13*y=5
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:
$$- 10 x = 5 - 13 y$$
Divide both parts of the equation by -10
We get the answer: x = -1/2 + 13*y/10
-10*x+13*y = 5
Looking for similar summands in the left part:
-10*x + 13*y = 5
Move the summands with the other variables
from left part to right part, we given:
$$- 10 x = 5 - 13 y$$
Divide both parts of the equation by -10
x = 5 - 13*y / (-10)
We get the answer: x = -1/2 + 13*y/10
Rapid solution
[src]
1 13*re(y) 13*I*im(y)
x1 = - - + -------- + ----------
2 10 10
$$x_{1} = \frac{13 \operatorname{re}{\left(y\right)}}{10} + \frac{13 i \operatorname{im}{\left(y\right)}}{10} - \frac{1}{2}$$
x1 = 13*re(y)/10 + 13*i*im(y)/10 - 1/2