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:
 1350x -510y = 
51
10
    (1)
-510x + 520y = 12    (2)
Question solving process:

Multiply both sides of equation (1) by 17
Divide the two sides of equation (1) by 45, the equation can be obtained:
         510x 
578
3
y = 
289
150
    (3)
, then add the two sides of equation (3) to both sides of equation (2), the equations are reduced to:
 1350x -510y = 
51
10
    (1)
 
982
3
y = 
2089
150
    (2)

Multiply both sides of equation (2) by 765
Divide both sides of equation (2) by 491, get the equation:
         
250410
491
y = 
106539
4910
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 1350x = 
13158
491
    (1)
 
982
3
y = 
2089
150
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
731
36825
    (1)
 y = 
2089
49100
    (2)


Therefore, the solution of the equation set is:
x = 
731
36825
y = 
2089
49100


Convert the solution of the equation set to decimals:
x = 0.019851
y = 0.042546

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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