Question

Решите решение системы способом сложения:1)7х + 2у = 9,5х + 2у =11; слева фигурная скобка3)х + 7у = 19,х + 5у = 13; слева фигурная скобкаРешите систему уравнений:1) 3х + 5у = 16,2х + 3у =9; слева фигурная скобка3) 3х - 5у = 23,2х + 3у = 9;слева фигурная скобкаПомогите пожалуйста срочно надо! очень сильно прошу!!))))Последние пункты!!(( прошу помогите очень надо!!)

Answer 1

1)7х + 2у = 9|*(-1)

5х + 2у =11

 

-7x-2y=-9

5x+2y=11

 

-2x=2

5x+2y=11

 

x=-1

5*(-1)+2y=11

 

x=-1

y=8

 

 

2)х + 7у = 19|*(-1)

х + 5у = 13

 

-x-7y=-19

x+5y=13

 

-2y=-6

x+5y=13

 

y=3

x+5*3=13

 

y=3

x=-2

 

 

3) 3х + 5у = 16|*(-2)

2х + 3у =9|*(3)

 

-6x-10y=-32

6x+9y=27

 

-y=-5

2x+3y=9

 

y=5

2x+3*5=9

 

y=5

x=-3

 

 

4) 3х - 5у = 23|*(-2)

2х + 3у = 9|*(3)

 

-6x+10y=-46

6x+9y=27

 

19y=-19

2x+3y=9

 

y=-1

2x+3*(-1)=9

 

y=-1

x=6

Answer 2

Solution to the System of Equations:

To solve the system of equations, we will use the method of addition. Let's solve each system step by step.

1) System of Equations: - Equation 1: 7x + 2y = 9.5 - Equation 2: 9x + 2y = 11

To solve this system, we will eliminate one variable by adding the two equations together. By adding Equation 1 and Equation 2, we can eliminate the variable 'y'.

Adding the two equations, we get: (7x + 2y) + (9x + 2y) = 9.5 + 11 16x + 4y = 20.5

Now, let's solve the resulting equation for 'x': 16x + 4y = 20.5 Divide both sides of the equation by 4: 4x + y = 5.125

Now, let's solve the resulting equation for 'y': 4x + y = 5.125 Subtract 4x from both sides of the equation: y = 5.125 - 4x

Therefore, the solution to the system of equations is: x = any real number y = 5.125 - 4x

2) System of Equations: - Equation 1: 3x + 5y = 16 - Equation 2: 2x + 3y = 9

To solve this system, we will eliminate one variable by adding the two equations together. By adding Equation 1 and Equation 2, we can eliminate the variable 'x'.

Adding the two equations, we get: (3x + 5y) + (2x + 3y) = 16 + 9 5x + 8y = 25

Now, let's solve the resulting equation for 'x': 5x + 8y = 25 Divide both sides of the equation by 5: x + (8/5)y = 5

Now, let's solve the resulting equation for 'y': x + (8/5)y = 5 Subtract x from both sides of the equation: (8/5)y = 5 - x

Therefore, the solution to the system of equations is: x = any real number y = (5 - x) * (5/8)

3) System of Equations: - Equation 1: 3x - 5y = 23 - Equation 2: 2x + 3y = 9

To solve this system, we will eliminate one variable by adding the two equations together. By adding Equation 1 and Equation 2, we can eliminate the variable 'y'.

Adding the two equations, we get: (3x - 5y) + (2x + 3y) = 23 + 9 5x - 2y = 32

Now, let's solve the resulting equation for 'x': 5x - 2y = 32 Divide both sides of the equation by 5: x - (2/5)y = 6.4

Now, let's solve the resulting equation for 'y': x - (2/5)y = 6.4 Multiply both sides of the equation by 5: 5x - 2y = 32

Therefore, the solution to the system of equations is: x = any real number y = any real number

I hope this helps! Let me know if you have any further questions.