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:
 393x + 90y = 84    (1)
 374x + 89y = 82    (2)
Question solving process:

Multiply both sides of equation (1) by 374
Divide the two sides of equation (1) by 393, the equation can be obtained:
         
48994
131
x + 
11220
131
y = 
10472
131
    (3)
, then subtract both sides of equation (3) from both sides of equation (2), the equations are reduced to:
 393x + 90y = 84    (1)
 
439
131
y = 
270
131
    (2)

Multiply both sides of equation (2) by 11790
Divide both sides of equation (2) by 439, get the equation:
         
39510
439
y = 
24300
439
    (4)
, then subtract both sides of equation (4) from both sides of equation (1), get the equation:
 393x = 
12576
439
    (1)
 
439
131
y = 
270
131
    (2)

The coefficient of the unknown number is reduced to 1, and the equations are reduced to:
 x = 
4192
57509
    (1)
 y = 
270
439
    (2)


Therefore, the solution of the equation set is:
x = 
4192
57509
y = 
270
439


Convert the solution of the equation set to decimals:
x = 0.072893
y = 0.615034

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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