Question

3x-7y=11 6x+7y=16 Решение систем линейных уравнений методом сложения

Answer 1

9х=27
х=3
подставим х
9-7у=11
7у=-2
у=-2/7

Answer 2

9х=27
Х=3
Ответ : 3
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Answer 3

To solve the system of linear equations using the method of addition (also known as the method of elimination), we'll add the two equations together in a way that eliminates one of the variables. Here's the step-by-step process:

Given system of equations:

1. 3x - 7y = 11
2. 6x + 7y = 16

Step 1: Add the equations to eliminate the variable "y." (3x - 7y) + (6x + 7y) = 11 + 16

Step 2: Simplify the equation: 9x = 27

Step 3: Solve for "x": x = 27 / 9 x = 3

Step 4: Substitute the value of "x" back into either of the original equations. Let's use Equation 1: 3x - 7y = 11 3(3) - 7y = 11 9 - 7y = 11

Step 5: Solve for "y": -7y = 11 - 9 -7y = 2 y = 2 / -7 y = -2/7

So, the solution to the system of linear equations is: x = 3 y = -2/7