If (A-4) x = 5 is a linear equation of one variable with respect to x, then a

If (A-4) x = 5 is a linear equation of one variable with respect to x, then a


The linear equation of one variable requires that the coefficient in front of X is not 0
So a - 4 ≠ 0
So a ≠ 4



Is x + Half x = 3 a linear equation with one variable


X + Half x = 3
x+0.5x=3
1.5x=3
x=3/1.5
=2
There is only one unknown, which is called unary. The highest index of the unknown is 1, which is called once. So this equation is called unary once equation
For the process of solving the equation of degree one variable as listed above, we only need to combine the similar terms, and there is no shift in this problem. Finally, we can get the value of the unknown by dividing the coefficients on both sides of the equation



Given that x = 4 is the solution of the linear equation of one variable (i.e. x is unknown) 3a-x = half x + 3, then a=


Substituting x = 4 into the equation 3a-x = half x + 3, we get that:
3a-4=4/2+3
3a=9
a=3



When is a linear equation of one variable infinite solutions


When 0 * x = 0, X has innumerable solutions



Given that two linear equations of one variable are reciprocal to each other, how to solve this problem?


The sum of two formulas equals 0



What are the conditions for the existence of innumerable solutions to a linear equation of one variable?


Ax + B = 0 is the general formula of linear equation with one variable
If a ≠ 0, B ≠ 0, then there is a unique solution x = - B / a (including a ≠ 0, B = 0, then x = 0)
If a = 0, B = 0, then there are innumerable solutions
If a = 0, B ≠ 0, then there is no solution



Under what circumstances can a linear equation of one variable have innumerable solutions, solutions and unique solutions


Let the linear equation of one variable be AX = B
When a = b = 0, the equation has innumerable solutions,
When a = 0, B0, the equation has no solution,
When A0, the equation has a unique solution



Linear equation of one variable and numerical problems
1. For a two digit number, the sum of one digit number and ten digit number is 11, and the difference between one digit number and ten digit number is 3
2. For a two digit number, the sum of one digit number and ten digit number is 11. If the difference between the new number and the original number is 45, the original two digit number can be obtained
3. A number, two-thirds of it, half of it, one seventh of it, all of it, add up to 194
It's best to write clearly


(1)x+y=11
x-y=3
x=7
y=4
forty-seven
(2)x+y=11
10x+y-10y-x=45
x=8
y=3
thirty-eight
(3)2/3x+1/2x+1/7x+x=194
x=84
eighty-four



On the numerical problem of linear equation with one variable
If 1,2,3, the average of X is 5;
The average of 4,5,6, X and Y is also 5,
So the value of XY is?


(1+2+3+x)/4=5
x=14
(4+5+6+x+y)/5=5
(4+5+6+14+y)/5=5
y=-4
xy=-56



There are 54 workers in the processing workshop of a garment factory. Each of them can process 8 coats or 10 trousers per day. How to allocate the number of workers so that the coats and trousers produced every day can match each other


If x people process the coat, 54-x people process the trousers
8X=10(54-X)
8X=540-10X
18X=540
X=30
54-30=24
There are 30 people working on shirts and 24 people working on trousers