Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation cos(x)-x=0
-
Equation 15-4(7-x)=11
-
Equation x+(8-3x)=12
-
Equation 3*x-4/6=7/8
- Express {x} in terms of y where:
- 2*x+11*y=0
- 14*x-17*y=-4
- 18*x-10*y=-9
- -16*x-14*y=-18
-
Identical expressions
- ax+3y= five
- ax plus 3y equally 5
- ax plus 3y equally five
-
Similar expressions
- ax-3y=5
ax+3y=5 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 (3*y + a*x)/x
We get the answer: x = (5 - 3*y)/a
a*x+3*y = 5
Divide both parts of the equation by (3*y + a*x)/x
x = 5 / ((3*y + a*x)/x)
We get the answer: x = (5 - 3*y)/a
The solution of the parametric equation
Given the equation with a parameter:
$$a x + 3 y = 5$$
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
$$- x + 3 y - 5 = 0$$
its solution
$$x = 3 y - 5$$
With
$$a = 0$$
the equation
$$3 y - 5 = 0$$
its solution
$$a x + 3 y = 5$$
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
$$- x + 3 y - 5 = 0$$
its solution
$$x = 3 y - 5$$
With
$$a = 0$$
the equation
$$3 y - 5 = 0$$
its solution
The graph
Sum and product of roots
[src]
sum
5 - 3*y
0 + -------
a
$$0 + \frac{5 - 3 y}{a}$$
=
5 - 3*y ------- a
$$\frac{5 - 3 y}{a}$$
product
5 - 3*y
1*-------
a
$$1 \frac{5 - 3 y}{a}$$
=
5 - 3*y ------- a
$$\frac{5 - 3 y}{a}$$
(5 - 3*y)/a