Question

Решите систему уравнений, способом подстановки с объяснением {5х+у=17{3х-4у=6 Посмотреть ответы maiev2021 maiev2021 Ответ: выразим из первого уравнения y, т.к он без коэффициента => самый удобный для выражения и подставим во второе: подставим значение x в первое уравнение и найдем y: Ответ: Объяснение: vienosdotres vienosdotres Ответ: (3 5/23; 21/23) Объяснение:

Answer 1

Solution using the method of substitution:

To solve the system of equations using the method of substitution, we will start by solving one equation for one variable and then substituting that expression into the other equation.

Given the system of equations: 1. 5x + y = 17 2. 3x - 4y = 6

Let's solve the first equation for y: 1. 5x + y = 17 - Subtract 5x from both sides: y = 17 - 5x

Now, substitute this expression for y in the second equation: 2. 3x - 4(17 - 5x) = 6 - Distribute the -4: 3x - 68 + 20x = 6 - Combine like terms: 23x - 68 = 6 - Add 68 to both sides: 23x = 74 - Divide by 23: x = 74/23

Now that we have the value of x, we can substitute it back into the first equation to find y: 1. 5(74/23) + y = 17 - Multiply 5 by 74/23: 370/23 + y = 17 - Subtract 370/23 from both sides: y = 17 - 370/23

Therefore, the solution to the system of equations is: x = 74/23 y = 17 - 370/23

Explanation: We solved the first equation for y and substituted the expression into the second equation. Then, we solved for x and substituted the value of x back into the first equation to find y. The resulting values of x and y are the solution to the system of equations.