Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x^2+4*x+4=0
-
Equation (x^2-4)^2+(x^2-3x-10)^2=0
-
Equation -x/3+x+7=3
-
Equation -20*(x-13)=-220
- Express {x} in terms of y where:
- -14*x+4*y=-16
- -13*x-10*y=5
- 9*x-1*y=17
- -12*x-8*y=13
-
Identical expressions
- (eleven / two)*(x-(twenty-one / ten))-(thirty-one / ten)*((nine / two)- two *x)=(thirty-six / five)*((seven / two)+x)-(six / five)
- (11 divide by 2) multiply by (x minus (21 divide by 10)) minus (31 divide by 10) multiply by ((9 divide by 2) minus 2 multiply by x) equally (36 divide by 5) multiply by ((7 divide by 2) plus x) minus (6 divide by 5)
- (eleven divide by two) multiply by (x minus (twenty minus one divide by ten)) minus (thirty minus one divide by ten) multiply by ((nine divide by two) minus two multiply by x) equally (thirty minus six divide by five) multiply by ((seven divide by two) plus x) minus (six divide by five)
- (11/2)(x-(21/10))-(31/10)((9/2)-2x)=(36/5)((7/2)+x)-(6/5)
- 11/2x-21/10-31/109/2-2x=36/57/2+x-6/5
- (11 divide by 2)*(x-(21 divide by 10))-(31 divide by 10)*((9 divide by 2)-2*x)=(36 divide by 5)*((7 divide by 2)+x)-(6 divide by 5)
-
Similar expressions
- (11/2)*(x-(21/10))-(31/10)*((9/2)-2*x)=(36/5)*((7/2)-x)-(6/5)
- (11/2)*(x-(21/10))+(31/10)*((9/2)-2*x)=(36/5)*((7/2)+x)-(6/5)
- (11/2)*(x-(21/10))-(31/10)*((9/2)+2*x)=(36/5)*((7/2)+x)-(6/5)
- (11/2)*(x-(21/10))-(31/10)*((9/2)-2*x)=(36/5)*((7/2)+x)+(6/5)
- (11/2)*(x+(21/10))-(31/10)*((9/2)-2*x)=(36/5)*((7/2)+x)-(6/5)
(11/2)*(x-(21/10))-(31/10)*((9/2)-2*x)=(36/5)*((7/2)+x)-(6/5) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
/ 21\
11*|x - --|
\ 10/ 31*(9/2 - 2*x) 36*(7/2 + x) 6
----------- - -------------- = ------------ - -
2 10 5 5
$$- \frac{31 \left(\frac{9}{2} - 2 x\right)}{10} + \frac{11 \left(x - \frac{21}{10}\right)}{2} = \frac{36 \left(x + \frac{7}{2}\right)}{5} - \frac{6}{5}$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Expand brackets in the right part
Looking for similar summands in the right part:
Move free summands (without x)
from left part to right part, we given:
$$\frac{117 x}{10} = \frac{36 x}{5} + \frac{99}{2}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{9 x}{2} = \frac{99}{2}$$
Divide both parts of the equation by 9/2
We get the answer: x = 11
(11/2)*(x-(21/10))-(31/10)*((9/2)-2*x) = (36/5)*((7/2)+x)-(6/5)
Expand brackets in the left part
11/2x+21/10)-31/109/2-2*x) = (36/5)*((7/2)+x)-(6/5)
Expand brackets in the right part
11/2x+21/10)-31/109/2-2*x) = 36/57/2+x)-6/5
Looking for similar summands in the right part:
-51/2 + 117*x/10 = 24 + 36*x/5
Move free summands (without x)
from left part to right part, we given:
$$\frac{117 x}{10} = \frac{36 x}{5} + \frac{99}{2}$$
Move the summands with the unknown x
from the right part to the left part:
$$\frac{9 x}{2} = \frac{99}{2}$$
Divide both parts of the equation by 9/2
x = 99/2 / (9/2)
We get the answer: x = 11