Question

Реши систему уравнений {x+y=2 x−y=16 ( ; ). Посмотреть ответы asanalibeksultanov06 asanalibeksultanov06 Ответ: x = 9; y = -7 Пошаговое объяснение: x = 2 - y Вставляем x во второе уравнение (2 - y) - y =16 2 - 2y = 16 2y = -14 y = -7 вставляем в первое уравнение x +(-7) = 2 x - 7 = 2 x = 9 fatimadzamaludinova8 fatimadzamaludinova8 X-y=(x^1/2-y^1/2)(x^1/2+y^1/2)=16 >> x^1/2+y^1/2=8 + >>>>>> 2x^1/2=10 >>x=25 x^1/2-y^1/2=2 >> x^1/2-y^1/2=2 >> y=9

Answer 1

To solve the system of equations:

1. x + y = 2
2. x - y = 16

You can use the method of substitution or elimination. Let's use the method of substitution:

Step 1: Solve one equation for one variable in terms of the other variable. From the first equation, we have: x = 2 - y

Step 2: Substitute the expression for x into the second equation. (2 - y) - y = 16

Step 3: Simplify and solve for y. 2 - 2y = 16 -2y = 16 - 2 -2y = 14 y = -7

Step 4: Find the value of x using the value of y obtained. x = 2 - (-7) x = 2 + 7 x = 9

So, the solution to the system of equations is: x = 9 y = -7