Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation (x-4)/(x-6)=2
-
Equation e^x=2
-
Equation x^2+4*x=21
-
Equation x^3+x-1=0
- Express {x} in terms of y where:
- 19*x-3*y=-12
- 17*x-7*y=15
- -11*x-6*y=1
- 14*x+3*y=-4
-
Identical expressions
- - five *(three *x- two)/ seven + four = seven *x- four / nine *(x- three)
- minus 5 multiply by (3 multiply by x minus 2) divide by 7 plus 4 equally 7 multiply by x minus 4 divide by 9 multiply by (x minus 3)
- minus five multiply by (three multiply by x minus two) divide by seven plus four equally seven multiply by x minus four divide by nine multiply by (x minus three)
- -5(3x-2)/7+4=7x-4/9(x-3)
- -53x-2/7+4=7x-4/9x-3
- -5*(3*x-2) divide by 7+4=7*x-4 divide by 9*(x-3)
-
Similar expressions
- 5*(3*x-2)/7+4=7*x-4/9*(x-3)
- -5*(3*x-2)/7-4=7*x-4/9*(x-3)
- -5*(3*x-2)/7+4=7*x-4/9*(x+3)
- -5*(3*x+2)/7+4=7*x-4/9*(x-3)
- -5*(3*x-2)/7+4=7*x+4/9*(x-3)
-5*(3*x-2)/7+4=7*x-4/9*(x-3) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
-5*(3*x - 2) 4*(x - 3)
------------ + 4 = 7*x - ---------
7 9
$$\frac{\left(-1\right) 5 \left(3 x - 2\right)}{7} + 4 = 7 x - \frac{4 \left(x - 3\right)}{9}$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Looking for similar summands in the left part:
Looking for similar summands in the right part:
Move free summands (without x)
from left part to right part, we given:
$$- \frac{15 x}{7} = \frac{59 x}{9} - \frac{86}{21}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-548\right) x}{63} = - \frac{86}{21}$$
Divide both parts of the equation by -548/63
We get the answer: x = 129/274
-5*(3*x-2)/7+4 = 7*x-4/9*(x-3)
Expand brackets in the left part
-5*3*x/7+5*2/7+4 = 7*x-4/9*(x-3)
Expand brackets in the right part
-5*3*x/7+5*2/7+4 = 7*x-4/9*x+4/9*3
Looking for similar summands in the left part:
38/7 - 15*x/7 = 7*x-4/9*x+4/9*3
Looking for similar summands in the right part:
38/7 - 15*x/7 = 4/3 + 59*x/9
Move free summands (without x)
from left part to right part, we given:
$$- \frac{15 x}{7} = \frac{59 x}{9} - \frac{86}{21}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{\left(-548\right) x}{63} = - \frac{86}{21}$$
Divide both parts of the equation by -548/63
x = -86/21 / (-548/63)
We get the answer: x = 129/274
Sum and product of roots
[src]
sum
129 --- 274
$$\frac{129}{274}$$
=
129 --- 274
$$\frac{129}{274}$$
product
129 --- 274
$$\frac{129}{274}$$
=
129 --- 274
$$\frac{129}{274}$$
129/274
The graph