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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:
 
1
2
x 
433
500
y = 78190    (1)
 
433
500
x + 
4
5
y = 79502    (2)
Question solving process:

Multiply both sides of equation (1) by 433
Divide the two sides of equation (1) by 250, the equation can be obtained:
         
433
500
x 
187489
125000
y = 
3385627
25
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
1
2
x 
433
500
y = 78190    (1)
 
287489
125000
y = 
1398077
25
    (2)

Multiply both sides of equation (2) by 108250
Divide both sides of equation (2) by 287489, get the equation:
         
6551723
7565500
y = 
318614390
15131
    (4)
, then add the two sides of equation (4) to both sides of equation (1), get the equation:
 
1
2
x = 
864478500
15131
    (1)
 
287489
125000
y = 
1398077
25
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
1728957000
15131
    (1)
 y = 
367915000
15131
    (2)


Therefore, the solution of the equation set is:
x = 
1728957000
15131
y = 
367915000
15131


Convert the solution of the equation set to decimals:
x = 114265.877999
y = -24315.312934

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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