Solve the system of equations. 2x-2y=-4 and x+y=8. show work

  (x, y) = (3, 5)

Step-by-step explanation:

It works well to divide the first equation by 2, so the system is ...

Now, adding the two equations together gives ...

  2x = 6

  x = 3 . . . . divide by 2

Substituting that into either equation gives you an equation for y.

  3 - y = -2

  5 - y = 0 . . . . add 2

  5 = y . . . . . . . add y

The solution is (x, y) = (3, 5).

jml angle lkj & angle mj = lm

the area of a triangle is determined by the formula: base x height * 1/2

you'll need to assign a base to the triangle. based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). the distance between any two numbers is found by just subtracting them. here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

so the distance (aka the length of the base) is 4. the height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). we should subtract the y values this time to find the height/distance.

4 - 1 = 3

so the height is 3.

base = 4

height = 3

hope this if needed hmu