Solve the system of equations. -x-y=-4 and -2x+4y=4

y=2

x=2

Step-by-step explanation:

Get y alone.

y=-x+4

solve for x

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

simplify and solve for x

x=2

Now, solve for y

y= -2+4

y=2

(2,2)

Step-by-step explanation:

-x-y = -4  

-2x + 4y = 4   To solve using the elimination method you will have to eliminate one of the variables, either x or y. To eliminate x we will have to multiply the top equation by -2 to get a new equation.

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

2x + 2y = 8      The new equation.  

Now using the new equation, add it to the bottom equation.

+      2x + 2y = 8

      -2x + 4y = 4      

      0 +   6y = 12  

              6y = 12    Now divide each side by 6 to solve for y.

            y = 2  

Since y is 2, we will plot it into one of the equations and solve for x.

We will use  the first equation and remember, it will work for any of the two equations,  2x +2y =8    and -2x + 4y = 4

2x + 2(2) = 8

2x + 4 = 8       Subtract 4 from both sides .

   -4       -4

2x = 4  

x= 2

just sum

10 + 10 = 20