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:
 
983
10
x + y = 
939
10
    (1)
 
289
10
x + y = 
51
2
    (2)
Question solving process:

Multiply both sides of equation (1) by 289
Divide the two sides of equation (1) by 983, the equation can be obtained:
         
284087
9830
x + 
289
983
y = 
271371
9830
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
983
10
x + y = 
939
10
    (1)
 
694
983
y = 
10353
4915
    (2)

Multiply both sides of equation (2) by 983
Divide both sides of equation (2) by 694, get the equation:
         y = 
10353
3470
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
983
10
x = 
168093
1735
    (1)
 
694
983
y = 
10353
4915
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
336186
341101
    (1)
 y = 
10353
3470
    (2)


Therefore, the solution of the equation set is:
x = 
336186
341101
y = 
10353
3470


Convert the solution of the equation set to decimals:
x = 0.985591
y = -2.983573

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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