Knowing that x 2 and y 3 are a solution to the equation mx ny 5, try to find the system of equations

Question 15x-3y=2m

3x-5y=m-2

15x-9y=6m………a

15x-25y=5m-10……b

a-b gets: 16y=m+10.........e

From the meaning of the title: x+y=1

x+y=1………c

5x-3y=2m………d

c*5-d:

8y=5-2m

16y=10-4m………f

m+10=10-4mm=0Question 2

Substituting x=-2 y=3 into the equation mx-ny=5 yields:

2m+3n=-5………a

The system of equations 4x+3y=4m+6n+3 is divided into :

4x+3y=2(2m+3n)+3………b

Substituting a for b obtains:

4x+3y=2(-5)+3= -10+3=-7 The system of equations 4x+3y=6m+9n+4 is transformed into :

4x+3y=3(2m+3n)+4………c

Substituting a for c yields:

4x+3y=3(-5)+4= -15+4= -11

Since x,y are unknown in the system of equations.

So the result is x=-2, y=-3

x+y=3 1)

mx-ny=5 2)

with a system of equations. nx-2my=1 3)

x-y=5 4).

Solution 1) 4) Deg.

x=4,y=-1

Substituting 2) 3) gets.

4m+n=5

4n+2m=1

Solution. m=19/14

n=-3/7

That is, the four equations are solved with the same beam group.

So first solve 5x+y=3

x-2y=5

The solution is x=1, y=-2

Bring in the other two.

m-10=4

5-2n=1

So the mum of slag m = 14, n = 2

Analysis of the section of the Xie Tan Meng:

Reputation from the title, simultaneous equations:

x-y=2x+4y=3

It is easy to solve x=11 5, y=1 5

It can be seen that the above obtained solution is also a system of equations:

mx+3ny=5

nx+2my=3.

Substituting x=11 5 and y=1 5 into the system of equations yields:

11m/5 +3n/5=5

11n/5+2m/5=3

i.e.: { 11m+3n=25 (1)

11n+2m=15 （2）

1) 2: 22m+6n=50 (3).

2) 11 gets: 121n+22m=165 (4)4)-(3) get:

115n=115

The solution yields n=1, m=2, 4,

That is, the four equations are solved in the same way.

So first solve 5x+y=3

x-2y=5

The solution is x=1 and y=-2

Bring in the other two.

m-10=4

5-2n=1

So m = 14 and n = 2

First, solve 5x+y=3

x-2y=5

The solution is x=1 and y=-2

Bring in the other two.

m-10=4

5-2n=1

So m = 14 and n = 2

Explain the history: substitute x=1 rotten hall 2, y=-1, 2x+ny=1.

2×1/2-n=1

1-n=1n=0

Substituting x=1 2,y=-1 into mx+3y=5.

1 2m-3=5

m=16A: m is 16 and n is 0

Handful. x=1 2, y=-1 generation.

1、mx+3y=5,2、 2x+ny=1

Gotta5m+3=5 m=16

n=1 n=0

Returning to the cave, I don't know if it's right to stare at the leakage and slow drying, you give some advice.

Analysis: by the meaning of the title, simultaneous equations:

x-y=2x+4y=3

It is easy to solve x=11 5, y=1 5

It can be seen that the above obtained solution is also a system of equations:

mx+3ny=5

nx+2my=3.

Substituting x=11 5 and y=1 5 into the system of equations gives us the following

11m/5 +3n/5=5

11n/5+2m/5=3

That is, the call: { 11m+3n=25 (1)晌chainblind。

11n+2m=15 （2）

1) 2: 22m+6n=50 (3).

2) 11 gets: 121n+22m=165 (4)4)-(3) get:

115n=115

The solution is n=1 and m=2

x+y=5

x-y=3 is solved: x=4, y=1

Substitution: mx+ny=15.

4m+n=15

That is, any set of solutions satisfying 4m+n=15 can be used. For example:

m=m=2,n=7

m=3,n=3

x+y=5

x-y=3x=4 y=1

Get: 4m+n=15

That is, any set of solutions satisfying 4m+n=15 can be used.

When m=m=2, n=7

m=3,n=3 。

Since the solution is the same, then the simultaneous x-y=2, x+4y=3x=11 5,y=1 5; Substitut the equation mx+3ny=5, nx+2my=3. It is obtained that the age of Huming bend is 11m+3n=25, and 11n+2m=15

Solve m,n

It's simple.

First of all, solve this system of equations, get the solution of x, y, bring in the other two equations to get the system of equations about Cong Ying, m and n (where x, y are known), and solve the value of m and n. Tachibana Takashi.