Question

Из пар чисел (-2;1),(2;-1)(1;2)выбирите решение системы 7x+4y=10. 2x+3y=1 пожалуйста

Answer 1

7X + 4Y = 10 
2X + 3Y = 1 
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X = ( 1 - 3Y) : 2 = 0,5 - 1,5Y 
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7 * ( 0,5 - 1,5Y) + 4Y = 10 
3,5 - 10,5Y + 4Y = 10 
- 6,5Y = 6,5 
Y = - 1 
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X = 0,5 + 1,5 = 2 
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ОТВЕТ ( 2 ; - 1 )

Answer 2

Solution for the System of Equations

To solve the system of equations 7x + 4y = 10 and 2x + 3y = 1 using the given points (-2, 1), (2, -1), and (1, 2), we can use the substitution method to find the solution.

First, let's find the solution using the point (-2, 1):

Substitute x = -2 and y = 1 into the equations: 1. 7x + 4y = 10 2. 2x + 3y = 1

Substituting the values, we get: 1. 7(-2) + 4(1) = 10 2. 2(-2) + 3(1) = 1

Solving these equations gives us: 1. -14 + 4 = 10 2. -4 + 3 = 1

So, the point (-2, 1) satisfies both equations.

Next, let's find the solution using the point (2, -1):

Substitute x = 2 and y = -1 into the equations: 1. 7x + 4y = 10 2. 2x + 3y = 1

Substituting the values, we get: 1. 7(2) + 4(-1) = 10 2. 2(2) + 3(-1) = 1

Solving these equations gives us: 1. 14 - 4 = 10 2. 4 - 3 = 1

So, the point (2, -1) also satisfies both equations.

Finally, let's find the solution using the point (1, 2):

Substitute x = 1 and y = 2 into the equations: 1. 7x + 4y = 10 2. 2x + 3y = 1

Substituting the values, we get: 1. 7(1) + 4(2) = 10 2. 2(1) + 3(2) = 1

Solving these equations gives us: 1. 7 + 8 = 10 2. 2 + 6 = 1

So, the point (1, 2) does not satisfy both equations.

Therefore, the solution to the system of equations 7x + 4y = 10 and 2x + 3y = 1 is the point (-2, 1) and (2, -1).

This solution is obtained by substituting the given points into the equations and verifying which points satisfy both equations.