Mister Exam
Other calculators
-
How to use it?
- Express {x} in terms of y where:
- -5*x-6*y=-1
- 1*x+6*y=-6
- -5*x+6*y=-8
- -2*x-9*y=10
- Equation:
-
Equation x^2=12
-
Equation 3^x=81
-
Equation x^2-8x+12=0
-
Equation x^6=-(12-8x)^3
- Limit of the function:
-
-19
-
Identical expressions
- fifteen *x- twelve *y=- nineteen
- 15 multiply by x minus 12 multiply by y equally minus 19
- fifteen multiply by x minus twelve multiply by y equally minus nineteen
- 15x-12y=-19
-
Similar expressions
- 15*x-12*y=+19
- 15*x+12*y=-19
Express x in terms of y where 15*x-12*y=-19
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:
$$15 x = 12 y - 19$$
Divide both parts of the equation by 15
We get the answer: x = -19/15 + 4*y/5
15*x-12*y = -19
Looking for similar summands in the left part:
-12*y + 15*x = -19
Move the summands with the other variables
from left part to right part, we given:
$$15 x = 12 y - 19$$
Divide both parts of the equation by 15
x = -19 + 12*y / (15)
We get the answer: x = -19/15 + 4*y/5
Rapid solution
[src]
19 4*re(y) 4*I*im(y)
x1 = - -- + ------- + ---------
15 5 5
$$x_{1} = \frac{4 \operatorname{re}{\left(y\right)}}{5} + \frac{4 i \operatorname{im}{\left(y\right)}}{5} - \frac{19}{15}$$
x1 = 4*re(y)/5 + 4*i*im(y)/5 - 19/15