Question

-2x+y=3 3x-y=-1….............​

Answer 1

-2х+у=3,3х-у=-1

1)х=2

2)3×2-у=-1

-у=-1-6

у=7

ответ:(2;7)

Answer 2

To solve the system of equations:

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

There are several methods to solve systems of linear equations, such as substitution, elimination, or using matrices. Let's use the elimination method.

Step 1: Multiply both sides of Equation 1 by 3, and both sides of Equation 2 by 1, so that the coefficients of y will cancel when added together:

1. -6x + 3y = 9
2. 3x - y = -1

Step 2: Now, add the two equations to eliminate y:

(-6x + 3y) + (3x - y) = 9 - 1

This simplifies to:

-3x + 2y = 8

Step 3: Solve for y:

2y = 8 + 3x y = (8 + 3x) / 2 y = 4 + (3/2)x

Step 4: Substitute the value of y back into one of the original equations (let's use Equation 1) to solve for x:

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

Now, solve for x:

-2x + 4 + (3/2)x = 3 -4x + 8 + 3x = 6 -x + 8 = 6 -x = 6 - 8 -x = -2 x = 2

Step 5: Substitute the value of x back into one of the original equations (let's use Equation 2) to solve for y:

3(2) - y = -1 6 - y = -1 -y = -1 - 6 -y = -7 y = 7

So, the solution to the system of equations is x = 2 and y = 7.