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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:
 
32
5
x + 
13
20
y = 169    (1)
 x + y = 263    (2)
Question solving process:

Multiply both sides of equation (1) by 5
Divide the two sides of equation (1) by 32, the equation can be obtained:
         x + 
13
128
y = 
845
32
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 
32
5
x + 
13
20
y = 169    (1)
 
115
128
y = 
7571
32
    (2)

Multiply both sides of equation (2) by 416
Divide both sides of equation (2) by 575, get the equation:
         
13
20
y = 
98423
575
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 
32
5
x = 
1248
575
    (1)
 
115
128
y = 
7571
32
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
39
115
    (1)
 y = 
30284
115
    (2)


Therefore, the solution of the equation set is:
x = 
39
115
y = 
30284
115


Convert the solution of the equation set to decimals:
x = -0.339130
y = 263.339130

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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