Mathematics
         
语言:中文    Language:English
On line solution of multivariate equations:
    First set the elements of the equation (i.e. the number of unknowns), then click the "Next" button to enter the coefficients of each element of the equation set, and click the "Next" button to obtain the solution of the equation set.
    Note that the coefficients of each element of the equation system can only be numbers, not algebraic expressions (including mathematical functions).
    Current location:Equations > Multivariate equations > Answer
detailed information:
The input equation set is:
 256x + 39y = 
77977
100
    (1)
 220x + 35y = 
14423
20
    (2)
Question solving process:

Multiply both sides of equation (1) by 55
Divide the two sides of equation (1) by 64, the equation can be obtained:
         220x + 
2145
64
y = 
857747
1280
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 256x + 39y = 
77977
100
    (1)
 
95
64
y = 
13065
256
    (2)

Multiply both sides of equation (2) by 2496
Divide both sides of equation (2) by 95, get the equation:
         39y = 
101907
76
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 256x = 
266528
475
    (1)
 
95
64
y = 
13065
256
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
8329
3800
    (1)
 y = 
2613
76
    (2)


Therefore, the solution of the equation set is:
x = 
8329
3800
y = 
2613
76


Convert the solution of the equation set to decimals:
x = -2.191842
y = 34.381579

解方程组的详细方法请参阅:《多元一次方程组的解法》







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