How to solve the binary equation 5x 6y 1 3x 2y 4 5x 2y 4 2x 4y 1

The first system of equations.

5x-6y=1 ①

3x-2y=4②

*3 gets -4x=1-4*3 x=11 4 and substituting x=11 4 into y=17 8

The second system of equations.

2x=4y=-1, i.e. x=-1 2 y=-1 4 substitution Equation 5x-2y=5*(-1 2)-2*(-1 4)=-2 contradicts Equation 5x-2y=4.

So there is no solution to this equation.

5x-2y=4 ①

2x-4y=-1 ②

2- Get 8x=9 Get x=9 8

Substituting x=9 8 into the formula gives y=13 16

Two systems of equations?

The first: 8x-8y=5, x-y=5 8, x=y+5 8, 5x=5y+25 8, bring in 5y+25 8-6y=1

-y=-17 8, i.e. y=17 8

Bring in 3x-17 4=4, i.e. x=11 4

The second: 2x=4y=-1, i.e. x=2y=-1 2 brings in 10y-2y=4

8y=4y=1/2

So x=1 and 2x=-1, but x=1, so the equation has no solution.

Haha It's very simple The first system of equations: directly use *3 - i.e. 9x-6y - 5x-6y)=12- 1 ,x=11 4,y=17 8

The second is unsolvable.

Solve the system of equations: 2x+5y=-1 , 6x-3y=15 chain lap cavity, equation 3 gets: 6x+15y=-3, equation - gets:

15y-(-3y)=-3-15,18y=-18,y=-18 18,y=-1,,Shed-and-line:

2x+5×(-1)=-1，2x-5=-1，2x=-1+5，2x=4，x=4/2，x=2。

Answer: The solution of a system of binary linear equations is: x=2, y=-1.

2x-6y=1 1

x=-3y+5 2

2 type substitution to 1 type positive tan.

2(-3y+5)-6y=1

12y+10=1

12y=9y=3 acres Qingbi Xunju 4

x=-3*3/4+5=11/4

1）x-2y=5

2) 5x-3y=2 1 (is based on =2 1 to do the hall of the hall) from (1) formula x=5+2y, substituted to (2)5(5+2y)-3y=2

25+10y-3y=2

7y=-23

y=-23 7 is substituted into (1).

x=5+2*(-23 7)=-11 7=-1 and 4 71)x-2y=5

2）5x-3y=1/2

From (1), x=5+2y is substituted into (2).

5（5+2y）-3y=1/2

25+10y-3y=1 Pose 2

7y=-49/2

14y-=49

y=-49 14=-7 2 (substituted to (1).)

x=5+2y=5+2*（-7/2）=-2

x=5+2y is obtained from x-2y=5

Substituting 5x-3y=1 2 yields 5(5+2y)-3y=1 2 solution: slippery y=-7 2

Substitution of excavation to make grinding judgment bucket x=5+2y to get x=-2

So {x=-2

y=-7/2

Substituting y=2x-3 into 3x+2y=8 to disturb the grandchildren gives x=2, y=1In the same way, substituting y=x+2 into Shentan into 6x+5y=-1 gives x=-1, y=1Change x+4y=15 to x=15-4y, and substitute x=15-4y into the chain of slow filial piety 3x+5y=11 as above, so as x=-31 7, y=34 7

Formula 1: 2x+3y=1;Formula 2: 5x+6y=162 - (1 formula multiplied by 2): 5x+6y-2*(2x+3y)=16-2, get x=14

Substituting 1 to destroy the Zen leak, 2*14+3y=1, get y=-9 to be fine, x=14

y=-9

3x+2y=4---1）

4x-5y=1---2）

Obtained from (1)x5+(2)x2.

23x=22

x=22/23

Put x22 23 generations (1).

y=13/23

So, the solution of the system of equations is x=22 23

y=13/23