Question

4x + 8y = -52--3x - y = 4​

Answer 1

Ответ:

(1; -7)

Пошаговое объяснение:

{y = -3x - 4

{4x -8(3x+4) = -52

{y = -3x - 4

{-20x - 32 = -52

{-20x = -20

{y = -3x - 4

{x = 1

{y = -3*1 - 4

{x = 1

{y = -7

Answer 2

To solve this system of linear equations:

1. 4x + 8y = -52
2. -3x - y = 4

We can use the method of substitution or elimination. Let's use the elimination method. First, we'll multiply equation (2) by 8 to make the coefficients of y in both equations equal:

1. 4x + 8y = -52
2. -24x - 8y = 32

Now, add equation (1) and equation (2) to eliminate the variable y:

(4x + 8y) + (-24x - 8y) = (-52 + 32)

Simplify:

4x - 24x = -20

-20x = -20

Now, divide both sides by -20 to solve for x:

x = (-20) / (-20) x = 1

Now that we've found the value of x, substitute it back into one of the original equations to solve for y. We'll use equation (2):

-3x - y = 4

-3(1) - y = 4

-3 - y = 4

Now, subtract -3 from both sides to isolate y:

-3 - y + 3 = 4 + 3

-y = 7

Multiply both sides by -1 to solve for y:

y = -7

So, the solution to the system of equations is:

x = 1 y = -7