Question

Векторы a(x;2); b(-3;y); c(7;-5); c = a+b Найти x;y

Answer 1

с = a + b => a = c - b, b = c - a:

a(x, 2) = c(7, - 5) - b(-3, y) => x = 7 + 3;

b(-3, y) = c(7, - 5) - a(x, 2) => y = -5 - 2

x = 10; y = -7

Answer 2

To find the values of x and y that satisfy the equation c = a + b, where a(x, 2), b(-3, y), and c(7, -5), we need to equate the corresponding components of vectors a, b, and c.

Let's start by breaking down the equation component-wise:

c = a + b (7, -5) = (x, 2) + (-3, y)

Now, equate the x-components and y-components separately:

x - 3 = 7 ...(1) (equating the x-components) 2 + y = -5 ...(2) (equating the y-components)

Now, solve equations (1) and (2) to find the values of x and y:

From equation (1): x - 3 = 7 x = 7 + 3 x = 10

From equation (2): 2 + y = -5 y = -5 - 2 y = -7

So, the values of x and y that satisfy the equation c = a + b are x = 10 and y = -7, respectively.