Mister Exam
Other calculators
-
How to use it?
- Equation:
- Equation x^5-32=0
- Equation 9x^2-45x=0
-
Equation 2x^2-9x+15=0
-
Equation k^2-4=0
- Express {x} in terms of y where:
- -10*x-16*y=-6
- 16*x+7*y=8
- -11*x+4*y=-8
- 17*x-11*y=2
-
Identical expressions
- ax+by+c= zero
- ax plus by plus c equally 0
- ax plus by plus c equally zero
- ax+by+c=O
-
Similar expressions
- ax+by-c=0
- ax-by+c=0
- a*x+b*y+c=0
ax+by+c=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the linear equation:
Divide both parts of the equation by (c + a*x + b*y)/x
We get the answer: x = (-c - b*y)/a
a*x+b*y+c = 0
Divide both parts of the equation by (c + a*x + b*y)/x
x = 0 / ((c + a*x + b*y)/x)
We get the answer: x = (-c - b*y)/a
The solution of the parametric equation
Given the equation with a parameter:
$$a x + b y + c = 0$$
The coefficient at x is equal to
$$a$$
then possible cases for a :
$$a < 0$$
$$a = 0$$
Consider all cases in more detail:
With
$$a < 0$$
the equation
$$b y + c - x = 0$$
its solution
$$x = b y + c$$
With
$$a = 0$$
the equation
$$b y + c = 0$$
its solution
$$a x + b y + c = 0$$
The coefficient at x is equal to
$$a$$
then possible cases for a :
$$a < 0$$
$$a = 0$$
Consider all cases in more detail:
With
$$a < 0$$
the equation
$$b y + c - x = 0$$
its solution
$$x = b y + c$$
With
$$a = 0$$
the equation
$$b y + c = 0$$
its solution
The graph
Sum and product of roots
[src]
sum
-c - b*y
0 + --------
a
$$0 + \frac{- b y - c}{a}$$
=
-c - b*y -------- a
$$\frac{- b y - c}{a}$$
product
-c - b*y
1*--------
a
$$1 \frac{- b y - c}{a}$$
=
-c - b*y -------- a
$$\frac{- b y - c}{a}$$
(-c - b*y)/a