Question

(2x-y = 2(3x-2y=3 способом подстановке ​

Answer 1

Ответ:

(х,у)=(1,0)

На фото.....

Answer 2

{2х-у=2

{3х-2у=3

{-у=2-2х

{3х-2у=3

{у=-2+2х

{3х-2у=3

Подставляем вместо у:

3х-2(-2+2х)=3

3х+4-4х=3

-х+4=3

-х=-1

Х=1

Подставляем вместо х:

У=-2+2*1

У=-2+2

У=0

Ответ:х=1;у=0

Answer 3

To solve the system of equations using the method of substitution, we'll solve one equation for one variable and substitute it into the other equation. Let's solve the first equation, 2x - y = 2, for y:

2x - y = 2

Adding y to both sides:

2x = y + 2

Now, we can substitute this expression for y into the second equation, 3x - 2y = 3:

3x - 2(y + 2) = 3

Expanding the parentheses:

3x - 2y - 4 = 3

Now, we can simplify the equation:

3x - 2y = 7

So, the system of equations 2x - y = 2 and 3x - 2y = 3, when solved using the method of substitution, simplifies to:

2x - y = 2 3x - 2y = 7