Mister Exam
Other calculators
-
How to use it?
- Express {x} in terms of y where:
- 10*x+5*y=-17
- 14*x+16*y=-3
- -19*x+1*y=0
- 10*x+18*y=6
- Equation:
-
Equation x^2+9=(x+9)^2
-
Equation cos(x)=-1
-
Equation 3*x+50=77
-
Equation 5-2(x-1)=4-x
- Derivative of:
- 14
- Integral of d{x}:
-
14
- Sum of series:
-
14
-
Identical expressions
- six *x- seventeen *y= fourteen
- 6 multiply by x minus 17 multiply by y equally 14
- six multiply by x minus seventeen multiply by y equally fourteen
- 6x-17y=14
-
Similar expressions
- 6*x+17*y=14
Express x in terms of y where 6*x-17*y=14
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:
$$6 x = 17 y + 14$$
Divide both parts of the equation by 6
We get the answer: x = 7/3 + 17*y/6
6*x-17*y = 14
Looking for similar summands in the left part:
-17*y + 6*x = 14
Move the summands with the other variables
from left part to right part, we given:
$$6 x = 17 y + 14$$
Divide both parts of the equation by 6
x = 14 + 17*y / (6)
We get the answer: x = 7/3 + 17*y/6
Rapid solution
[src]
7 17*re(y) 17*I*im(y)
x1 = - + -------- + ----------
3 6 6
$$x_{1} = \frac{17 \operatorname{re}{\left(y\right)}}{6} + \frac{17 i \operatorname{im}{\left(y\right)}}{6} + \frac{7}{3}$$
x1 = 17*re(y)/6 + 17*i*im(y)/6 + 7/3