Question

1. Решите систему уравнений способом сложения:{ 2x - y = 1 {4x-2y = -3 ​ Смотреть ответ lauraelikbaeva27 lauraelikbaeva27 Ответ:2х-у=14х+2у=3Умножим первое выражение на -2, чтобы избавиться от х-4х+6у=-24х+2у=3Теперь все сложим8у=1У=1/8Подставляем2х-3*1/8=12х-3/8=12х=1+3/82х=11/8Х=11/16Х=11/16У=1/8Пошаговое объяснение:вроде так

Answer 1

Solution to the System of Equations by Addition Method:

To solve the system of equations using the addition method, we need to eliminate one variable by adding the two equations together. Let's solve the given system of equations:

Equation 1: 2x - y = 1 Equation 2: 4x - 2y = -3

To eliminate the variable "y," we can multiply Equation 1 by 2 and Equation 2 by -1. This will give us:

Equation 1 (multiplied by 2): 4x - 2y = 2 Equation 2 (multiplied by -1): -4x + 2y = 3

Now, let's add the two equations together:

(4x - 2y) + (-4x + 2y) = 2 + 3 0 = 5

We end up with 0 = 5, which is not a true statement. This means that the system of equations has no solution. There is no value of x and y that satisfies both equations simultaneously.

Therefore, the system of equations is inconsistent and does not have a solution.

Please let me know if there's anything else I can help you with!