Question

Розвʼязати способом підстановки систему рівнянь: {2y-x =2 {4y-2x = 3 Смотреть ответ Nononekkk Nononekkk Відповідь:1.  2y-x=2, 2y=x+2, y=(x+2)/2,  y=(1/2)*x+1 x | 0 | -2 |-------------y | 1 | 0 |2. 4y-2x=3, 4y=2x+3, y=(2x+3)/4, y=(1/2)*x+3/4x |   0  |  -2 |---------------y |  3/4 | -1/4Пояснення: А сори всё норм Это не должно решаться как два отдельных это должно как один пример

Answer 1

Solving the System of Equations by Substitution

To solve the system of equations using the method of substitution, we will substitute one equation into the other to eliminate one variable. Let's solve the given system of equations:

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

To solve the system, we can start by solving Equation 1 for y in terms of x:

2y - x = 2 2y = x + 2 y = (x + 2)/2

Now, we can substitute this expression for y into Equation 2:

4((x + 2)/2) - 2x = 3 2(x + 2) - 2x = 3 2x + 4 - 2x = 3 4 = 3

It seems that there is no solution to this system of equations. The equation 4 = 3 is not true, which means there is no value of x and y that satisfies both equations simultaneously.

Therefore, the system of equations is inconsistent and has no solution.

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