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:
 
1167
1000
x + 
337
1000
y = -13750    (1)
 
337
1000
x + 
337
1000
y = -3750    (2)
Question solving process:

Multiply both sides of equation (1) by 337
Divide the two sides of equation (1) by 1167, the equation can be obtained:
         
131093
389000
x + 
113569
1167000
y = 
4633750
1167
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
1167
1000
x + 
337
1000
y = -13750    (1)
 
27971
116700
y = 
257500
1167
    (2)

Multiply both sides of equation (2) by 393279
Divide both sides of equation (2) by 279710, get the equation:
         
131093
389000
y = 
919322546
10880719
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
1167
1000
x = 
205353436
10880719
    (1)
 
27971
116700
y = 
257500
1167
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
804994208
187102815
    (1)
 y = 
1426815408
10880719
    (2)


Therefore, the solution of the equation set is:
x = 
804994208
187102815
y = 
1426815408
10880719


Convert the solution of the equation set to decimals:
x = -4.302416
y = 131.132456

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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