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:
 50x + 48y = 100    (1)
 46x + 50y = 100    (2)
Question solving process:

Multiply both sides of equation (1) by 23
Divide the two sides of equation (1) by 25, the equation can be obtained:
         46x + 
1104
25
y = 92    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 50x + 48y = 100    (1)
 
146
25
y = 8    (2)

Multiply both sides of equation (2) by 600
Divide both sides of equation (2) by 73, get the equation:
         48y = 
4800
73
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 50x = 
2500
73
    (1)
 
146
25
y = 8    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
50
73
    (1)
 y = 
100
73
    (2)


Therefore, the solution of the equation set is:
x = 
50
73
y = 
100
73


Convert the solution of the equation set to decimals:
x = 0.684932
y = 1.369863

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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