Question

{ 2x - y = 2; X + 2y = -4

Answer 1

Ответ:

x=0      y= -2

Объяснение:

{y=-2+2x

x+2y=-4


x+2(-2+2x)= - 4

x=0

y= -2+2*0

y= -2

Answer 2

You have a system of two linear equations with two variables:

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

You can solve this system of equations using various methods such as substitution, elimination, or matrices. Let's use the elimination method to solve this system.

First, let's multiply both sides of equation (2) by 2 to make the coefficients of y in both equations equal:

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

Now, subtract equation (1) from equation (2) to eliminate x:

(2x + 4y) - (2x - y) = (-8) - 2

Simplify:

5y = -10

Now, divide both sides by 5 to solve for y:

5y/5 = -10/5 y = -2

Now that we have found the value of y, substitute it back into either equation (1) or equation (2) to solve for x. Let's use equation (1):

2x - (-2) = 2

Simplify:

2x + 2 = 2

Subtract 2 from both sides:

2x = 2 - 2 2x = 0

Now, divide both sides by 2 to solve for x:

2x/2 = 0/2 x = 0

So, the solution to the system of equations is:

x = 0 y = -2

Therefore, the values of x and y that satisfy both equations are x = 0 and y = -2.