Question

B) x - 3y = -7, x + 2y = 8; ​

Answer 1

Ответ:

х=2,у=3

Объяснение:

.....................

Answer 2

To solve the system of equations:

1. x - 3y = -7
2. x + 2y = 8

There are multiple methods to solve this system, including substitution, elimination, or using matrices. I will use the elimination method to solve it.

To eliminate x, we can multiply equation (1) by 2 and equation (2) by 3:

3 * (x - 3y) = 3 * (-7) -> 3x - 9y = -21 2 * (x + 2y) = 2 * 8 -> 2x + 4y = 16

Now, we can add equation (1) and equation (2) to eliminate x:

(3x - 9y) + (2x + 4y) = -21 + 16 5x - 5y = -5

Simplifying the equation, we get:

5(x - y) = -5 x - y = -1

Now we have a new equation:

x - y = -1 -> x = y - 1

We can substitute this expression for x into either of the original equations. Let's use equation (2):

x + 2y = 8

(y - 1) + 2y = 8 3y - 1 = 8 3y = 9 y = 3

Substituting the value of y back into equation (1):

x - 3(3) = -7 x - 9 = -7 x = -7 + 9 x = 2

Therefore, the solution to the system of equations is x = 2 and y = 3.