Question

(2x - y = 1; (x - y = 4повний розв'язок ​

Answer 1

Відповідь:

Пояснення:

Answer 2

To find the complete solution to the system of equations:

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

We can solve the system by using the method of substitution or elimination. Let's solve it using the method of elimination.

Step 1: Multiply equation (2) by -2 to eliminate the variable y: -2(x - y) = -2(4) -2x + 2y = -8

Now the system becomes:

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

Step 2: Add equation (1) and equation (2) to eliminate the variable x: (2x - y) + (-2x + 2y) = 1 + (-8)

• y + 2y = -7 y = -7

Step 3: Substitute the value of y back into equation (1): 2x - (-7) = 1 2x + 7 = 1 2x = 1 - 7 2x = -6 x = -3

Therefore, the solution to the system of equations is x = -3 and y = -7.