Solve the system -2x-4y=8
3x+y=-2
100 points !

x = 0

y = -2

Step-by-step explanation:

The system of equations are

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

3x+y=-2- - - - - - - - - - - 2

Equation 1 and equation 2 are simultaneous linear equations.

We will use the method of elimination to solve for x and y.

In order to eliminate x, let us multiply equation 1 by 3 and equation 2 by 2. The two equations become

- 6x - 12y = 24 - - - - - - - - - -3

6x + 2y = - 4 - - - - - - - - - - 4

We would add equation 3 and equation 4. It becomes

-10y = 20

y = 20 / - 10

y = - 2

Substituting y = - 2 into equation 1, it becomes

-2x- 4 × - 2 =8

- 2x + 8 = 8

- 2x = 8 - 8 = 0

x = 0 / -2 = 0

ok

step-by-step explanation: