Question

Решите систему уравнений (a-число)5x+2y=12,ax+3y=11 когда известно, что пора (5;-3) евляются решением второго уравнения системы.

Answer 1

a*5+3*(-3)=11

5a-9=11

5a=20

a=4

 

5x+2y=12 |*(-3)

4x+3y=11 |*2

 

-15x-6y=-36

8x+6y=22

--------------

-7x=-14

x=2

 

5*2+2y=12

10+2y=12

2y=2

y=1

 

Answer 2

System of Equations

We are given the system of equations:

Equation 1: (a - число)5x + 2y = 12 Equation 2: ax + 3y = 11

We also know that the point (5, -3) is a solution to the second equation of the system.

To find the value of 'a' and solve the system of equations, we can substitute the values of x and y from the given point into Equation 2 and solve for 'a'.

Solving for 'a'

Substituting x = 5 and y = -3 into Equation 2, we get:

a(5) + 3(-3) = 11

Simplifying the equation:

5a - 9 = 11 5a = 20 a = 4

Therefore, 'a' is equal to 4.

Solving the System of Equations

Now that we have the value of 'a', we can substitute it into Equation 1 and Equation 2 to solve the system of equations.

Substituting a = 4 into Equation 1, we get:

(4 - число)5x + 2y = 12

Since we don't know the value of 'число', we cannot solve Equation 1 further without additional information.

However, we can still solve Equation 2 using the given point (5, -3) as a solution.

Substituting x = 5, y = -3, and a = 4 into Equation 2, we get:

4(5) + 3(-3) = 11 20 - 9 = 11 11 = 11

The equation is satisfied, which means the given point (5, -3) is indeed a solution to Equation 2.

To summarize: - The value of 'a' in the system of equations is 4. - The given point (5, -3) is a solution to Equation 2.

Unfortunately, without additional information about the value of 'число' in Equation 1, we cannot solve the entire system of equations.