Question

{x - 2y = -1, 2x + y= 3;}

Answer 1

Объяснение:

{x - 2y = -1,

2x + y= 3;}

{x = 2у-1,

2(2у-1) + y= 3;}

4у-2+у=3

5у=5

у=1

х=2*1-1=1

ответ:(1;1)

Answer 2

To solve the system of equations:

1. x - 2y = -1
2. 2x + y = 3

There are multiple methods to solve this system, such as substitution or elimination. I will use the elimination method here:

Step 1: Multiply equation (2) by 2 to eliminate the variable x: 2(2x + y) = 2(3) 4x + 2y = 6

Now we have:

1. x - 2y = -1 4x + 2y = 6

Step 2: Add equation (1) and equation (2) to eliminate the variable y: (x - 2y) + (4x + 2y) = -1 + 6 x + 4x - 2y + 2y = 5x = 5

Simplifying, we have: 5x = 5

Step 3: Divide both sides of the equation by 5 to solve for x: 5x/5 = 5/5 x = 1

Step 4: Substitute the value of x into either equation (1) or (2) to solve for y. Let's use equation (1): x - 2y = -1 1 - 2y = -1

Subtract 1 from both sides: -2y = -2

Divide both sides by -2: y = 1

Therefore, the solution to the system of equations is x = 1 and y = 1.