Question

1) х-2у=142х+5у=12)х-у=-3х+3у=1​

Answer 1

Ответ:

1) y = -55/9, x = 142/9. 2) y=1 , x = -2

Пошаговое объяснение:

.......mmm...........

Answer 2

Ответ:

1. х = 8   у = -3

2. х = -1   у = 2

Пошаговое объяснение:

1) х-2у=14 → х = 14+2у → подставим значение х во второе уравнение:

2х+5у=1 → 2(14+2у)+5у=1 → 28+4у+5у=1 → 9у+28=1 → 9у=-27 → у=-27/9 → у=-3

х-2у=14 → х - 2*(-3)=14 → х+6=14 → х = 14-6 → х= 8

2)х-у=-3 → х = -3+(-у) = -3 - у → подставим значение х во второе уравнение:

х+3у=1​ → -3-у+3у=1 → 2у-3=1 → 2у=4 → у=4/2 → у = 2

х-у=-3 → х = -3+у → х= -3+2 → х = -1

Answer 3

To solve this system of linear equations, you can use the method of either substitution or elimination. I'll use the elimination method here.

The system of equations is as follows:

1. x - 2y = 14
2. x + 5y = 1

Now, let's eliminate one of the variables by adding the two equations together. We'll eliminate x:

(1) + (2):

(x - 2y) + (x + 5y) = 14 + 1

This simplifies to:

2x + 3y = 15

Now, we have a new equation:

3. 2x + 3y = 15

We have successfully eliminated x. Next, we'll eliminate y. To do that, we'll subtract equation (1) from equation (2):

(2) - (1):

(x + 5y) - (x - 2y) = 1 - 14

This simplifies to:

7y = -13

Now, we have a new equation:

4. 7y = -13

Now, we have two new equations:

3. 2x + 3y = 15
4. 7y = -13

First, let's solve equation (4) for y:

4. 7y = -13 y = -13 / 7

Now, substitute the value of y into equation (3) to find the value of x:

3. 2x + 3y = 15 2x + 3(-13/7) = 15

Now, solve for x:

2x - 39/7 = 15

2x = 15 + 39/7

2x = (105/7) + (39/7)

2x = 144/7

x = (144/7) / 2

x = 72/7

So, the solution to the system of equations is:

x = 72/7 y = -13/7