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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 6 questions will be solved this time.Among them
☆6 equations
[ 1/6 Equation]
Work: Find the solution of equation ３x×４＋３８ = １５０－２x .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
[ 2/6 Equation]
Work: Find the solution of equation ２x＋２x－１５ = ２１ .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
[ 3/6 Equation]
Work: Find the solution of equation ４x×４＋１３ = ３２５－８x .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Transposition :
Combine the items on the left of the equation:
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
[ 4/6 Equation]
Work: Find the solution of equation ３x×３＋４x－１２ = １７０ .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
[ 5/6 Equation]
Work: Find the solution of equation ７x÷３ = ８．１９ .
Question type: Equation
Solution:Original question:
The equation is transformed into :
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
[ 6/6 Equation]
Work: Find the solution of equation ３x×３＋２x×３－２９ = ７６ .
Question type: Equation
Solution:Original question:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
☆6 equations
[ 1/6 Equation]
Work: Find the solution of equation ３x×４＋３８ = １５０－２x .
Question type: Equation
Solution:Original question:
| 3 | x | × | 4 | + | 38 | = | 150 | − | 2 | x |
| Left side of the equation = | 12 | x | + | 38 |
| 12 | x | + | 38 | = | 150 | − | 2 | x |
Transposition :
| 12 | x | + | 2 | x | = | 150 | − | 38 |
Combine the items on the left of the equation:
| 14 | x | = | 150 | − | 38 |
Combine the items on the right of the equation:
| 14 | x | = | 112 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 112 | ÷ | 14 |
| = | 112 | × | 1 14 |
| = | 8 | × | 1 |
We obtained :
| x | = | 8 |
[ 2/6 Equation]
Work: Find the solution of equation ２x＋２x－１５ = ２１ .
Question type: Equation
Solution:Original question:
| 2 | x | + | 2 | x | − | 15 | = | 21 |
| Left side of the equation = | 4 | x | − | 15 |
| 4 | x | − | 15 | = | 21 |
Transposition :
| 4 | x | = | 21 | + | 15 |
Combine the items on the right of the equation:
| 4 | x | = | 36 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 36 | ÷ | 4 |
| = | 36 | × | 1 4 |
| = | 9 | × | 1 |
We obtained :
| x | = | 9 |
[ 3/6 Equation]
Work: Find the solution of equation ４x×４＋１３ = ３２５－８x .
Question type: Equation
Solution:Original question:
| 4 | x | × | 4 | + | 13 | = | 325 | − | 8 | x |
| Left side of the equation = | 16 | x | + | 13 |
| 16 | x | + | 13 | = | 325 | − | 8 | x |
Transposition :
| 16 | x | + | 8 | x | = | 325 | − | 13 |
Combine the items on the left of the equation:
| 24 | x | = | 325 | − | 13 |
Combine the items on the right of the equation:
| 24 | x | = | 312 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 312 | ÷ | 24 |
| = | 312 | × | 1 24 |
| = | 13 | × | 1 |
We obtained :
| x | = | 13 |
[ 4/6 Equation]
Work: Find the solution of equation ３x×３＋４x－１２ = １７０ .
Question type: Equation
Solution:Original question:
| 3 | x | × | 3 | + | 4 | x | − | 12 | = | 170 |
| Left side of the equation = | 9 | x | + | 4 | x | − | 12 |
| = | 13 | x | − | 12 |
| 13 | x | − | 12 | = | 170 |
Transposition :
| 13 | x | = | 170 | + | 12 |
Combine the items on the right of the equation:
| 13 | x | = | 182 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 182 | ÷ | 13 |
| = | 182 | × | 1 13 |
| = | 14 | × | 1 |
We obtained :
| x | = | 14 |
[ 5/6 Equation]
Work: Find the solution of equation ７x÷３ = ８．１９ .
Question type: Equation
Solution:Original question:
| 7 | x | ÷ | 3 | = | 819 100 |
| Left side of the equation = | 7 3 | x |
7 3 | x | = | 819 100 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 819 100 | ÷ | 7 3 |
| = | 819 100 | × | 3 7 |
| = | 117 100 | × | 3 |
We obtained :
| x | = | 351 100 |
Convert the result to decimal form :
| x | = | 3.51 |
[ 6/6 Equation]
Work: Find the solution of equation ３x×３＋２x×３－２９ = ７６ .
Question type: Equation
Solution:Original question:
| 3 | x | × | 3 | + | 2 | x | × | 3 | − | 29 | = | 76 |
| Left side of the equation = | 9 | x | + | 6 | x | − | 29 |
| = | 15 | x | − | 29 |
| 15 | x | − | 29 | = | 76 |
Transposition :
| 15 | x | = | 76 | + | 29 |
Combine the items on the right of the equation:
| 15 | x | = | 105 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 105 | ÷ | 15 |
| = | 105 | × | 1 15 |
| = | 7 | × | 1 |
We obtained :
| x | = | 7 |