Given that x = 1 is the solution of equation 3ax-1 = A-1, find the value of A

Given that x = 1 is the solution of equation 3ax-1 = A-1, find the value of A

Let x = 1 be the solution of equation 3ax-1 = A-1,
Then substitute x = 1 and the original equation holds
That is 3a-1 = A-1,
If 3A = a, then a = 0

1. It is known that the solution of the equation 3ax + 1 = 2x-a about X is x = 1, and the value of a is obtained. 2. Solve the equation 4 / 3-3 / 4x = x-3 and 1 / 3
There must be a process, urgent

Substituting x = 1 into 3ax + 1 = 2x-a:
3a+1=2-a
4a=1
a=1/4
4 / 3-3 / 4x = x-3 and 1 / 3
4/3-3/4x=x-10/3
x+3/4x=4/3+10/3
7x/4=14x/3
x/4=2/3
x=8/3

To solve the system of equations x + 2Y = 5, X2 + y2-2xy-1 = 0
Solve the equations x2-4xy + 3Y = 0, X2 + y2 = 10 (- ditto)

1) If x ^ 2 + y ^ 2-2xy-1 = 0, then,
x^2-2xy+y^2=1,
(x-y)^2=1,
So X-Y = 1 or X-Y = - 1,
If X-Y = 1,
x+2y=5,
The solution is x = 7 / 3, y = 4 / 3
If X-Y = - 1,
x+2y=5,
The solution is x = 1, y = 2
So there are two sets of solutions,
x1=7/3,
y1=4/3
x2=1,
y2=2
2) Sort out x ^ 2-4xy + 3Y ^ = 0,
(x-y)(x-3y)=0,
So X-Y = 0, x-3y = 0,
The solution is x = y, x = 3Y
When x = y,
x^2+y^2=10
The solution is X1 = √ 5, Y1 = √ 5,
x2=-√5,y2=-√5
When x = 3Y,
x^2+y^2=10,
The solution is X3 = 3, Y3 = 1, X4 = - 3, Y4 = - 1
So there are four sets of solutions

There are 240 students in the fifth grade of Hongqi primary school, accounting for 1 / 4 of the total number of students. The number of teaching staff is 1 / 16 of the total number of students. How many teaching staff are there in Hongqi primary school

240÷1/4×1/16=60

Equation -- fill in the blanks of mathematics in grade one of junior high school
1. A harvester team harvests 12 hectares of rice every day. After harvesting 2 / 3 of a piece of rice, the harvester team improves its operation, and the efficiency is increased to 5 / 4 times of the original. Therefore, it is completed one day earlier than the scheduled time, and the piece of rice will be harvested again_____ hectare.
2. A city has implemented the project of "returning farmland to forest" and the afforestation activity of "protecting mother river". There are 1000 mu barren hills in HongMian village, and the greening rate is 80%. 300 mu of good farmland does not need greening. This year, the planting rate of river slope land is 20%, so the greening rate of all land in HongMian village is equal to 60%, and the river slope land is shared_____ Mu

The number of days needed to complete 2 / 3 of the original plan is (2 / 3) (x / 12) days. After the efficiency is improved, 12 × (5 / 4) hectares of rice will be harvested every day, and the number of days needed to complete the remaining 2 / 3 is (1 / 3) x × [12 × (5 / 4)] days

There are three numbers a, B and C, and the sum of them is 300. It is known that a is 50 larger than B and B is 20 larger than C. what is the number of a?

Let C be x, B be 20 + X, and a be 70 + X
x+20+x+70+x=300
x=70
So a is x + 70 = 70 + 70 = 140

If the denominator of equation 1-x 4-1 = 2-x 6 is removed, it should be multiplied on both sides of the equation

4 / (1-x) - 1 = 6 / (2-x), multiply both sides by (1-x) (2-x), 4 (2-x) - (1-x) (2-x) = 6 (1-x), 8-4x-2 + 3x-x = 6-6X, x-5x = 0, X (X-5) = 0, x = 0, or x = 5,

The difference between a and B is 120, and a is two-thirds of B. what are the two numbers? There should be a formula process
There are also several questions: subtract a number from the numerator and denominator of 33 / 37 to get 8 / 9. What's the number?
Three fifths of a peach tree is equal to four ninths of a pear tree. How many of the two kinds of fruit trees are there?
Note: there must be a formula process

&Nbsp; b = 120 ÷ (1-2 / 3) = 360
A = 360 × 2 / 3 = 240
The difference is constant: 37-33 = 4
9-8 = 1, so 9 and 8 expand 4 times at the same time
That is, 9 × 4 = 36, 8 × 4 = 32
This number is 37-9 × 4 = 1
We can only calculate the ratio: peach tree: pear tree = 4:5 of 9 = 20:27

Given a & gt; 0, B & gt; 0, and ab = 1, then the minimum value of 2A + B is obtained

AB = 1, then B = 1 / A
So: 2A + B = 2A + 1 / a ≥ 2 √ [(2a) (1 / a)] = 2 √ 2
That is, the minimum value of 2A + B is 2 √ 2

If 1 / 7 of a is equal to 2 / 3 of B, then the number of a is equal to that of B. how much more is the number of a than that of B? How much less is the number of B than that of a?
Thinking of solving problems

2/3÷1/7=14:3 (14-3)/3=11/3 (14-3)/14=11/14