Mister Exam
Other calculators
-
How to use it?
- Express {x} in terms of y where:
- -2*x-7*y=19
- -7*x-11*y=4
- -17*x-7*y=16
- -10*x+1*y=-11
- Equation:
-
Equation cos(x)-1=0
-
Equation (5*x+4)/2+3=9*x/4
-
Equation 7*x^3-28*x=0
-
Equation 4x+9=5(2x-7)-6x
- -12
- Limit of the function:
-
-12
-
Identical expressions
- twelve *x+ thirteen *y=- twelve
- 12 multiply by x plus 13 multiply by y equally minus 12
- twelve multiply by x plus thirteen multiply by y equally minus twelve
- 12x+13y=-12
-
Similar expressions
- 12*x-13*y=-12
- 12*x+13*y=+12
Express x in terms of y where 12*x+13*y=-12
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:
$$12 x = - 13 y - 12$$
Divide both parts of the equation by 12
We get the answer: x = -1 - 13*y/12
12*x+13*y = -12
Looking for similar summands in the left part:
12*x + 13*y = -12
Move the summands with the other variables
from left part to right part, we given:
$$12 x = - 13 y - 12$$
Divide both parts of the equation by 12
x = -12 - 13*y / (12)
We get the answer: x = -1 - 13*y/12
Rapid solution
[src]
13*re(y) 13*I*im(y)
x1 = -1 - -------- - ----------
12 12
$$x_{1} = - \frac{13 \operatorname{re}{\left(y\right)}}{12} - \frac{13 i \operatorname{im}{\left(y\right)}}{12} - 1$$
x1 = -13*re(y)/12 - 13*i*im(y)/12 - 1