Mister Exam
Other calculators
-
How to use it?
- Express {x} in terms of y where:
- -2*x+4*y=3
- 3*x-17*y=-6
- 3*x-2*y=-9
- -5*x-9*y=-18
- Equation:
-
Equation (x+7)*(x-1)=0
-
Equation sin(x)=0
-
Equation 2(y+3)=21-3y
- Equation x^3-25*x=0
- 3*x+4*y
- Sum of series:
-
-1
- Derivative of:
-
-1
- Integral of d{x}:
-
-1
-
Identical expressions
- three *x+ four *y=- one
- 3 multiply by x plus 4 multiply by y equally minus 1
- three multiply by x plus four multiply by y equally minus one
- 3x+4y=-1
-
Similar expressions
- 3*x+4*y=+1
- 3*x-4*y=-1
Express x in terms of y where 3*x+4*y=-1
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:
$$3 x = - 4 y - 1$$
Divide both parts of the equation by 3
We get the answer: x = -1/3 - 4*y/3
3*x+4*y = -1
Looking for similar summands in the left part:
3*x + 4*y = -1
Move the summands with the other variables
from left part to right part, we given:
$$3 x = - 4 y - 1$$
Divide both parts of the equation by 3
x = -1 - 4*y / (3)
We get the answer: x = -1/3 - 4*y/3
Rapid solution
[src]
1 4*re(y) 4*I*im(y)
x1 = - - - ------- - ---------
3 3 3
$$x_{1} = - \frac{4 \operatorname{re}{\left(y\right)}}{3} - \frac{4 i \operatorname{im}{\left(y\right)}}{3} - \frac{1}{3}$$
x1 = -4*re(y)/3 - 4*i*im(y)/3 - 1/3