Solve the following system of equations by using the elimination method. 2x + 4y = 8 and 3x – 3y = 12

  (x, y) = (4, 0)

Step-by-step explanation:

It is convenient to first put the equations into standard form by eliminating common factors. The first equation has a factor of 2 that can be removed; the second equation has a factor of 3 that can be removed. Then you have ...

Subtracting the second equation from the first eliminates the x variable. That gives you ...

  (x +2y) -(x -y) = (4) -(4)

  3y = 0 . . . . . . simplify

  y = 0 . . . . . . . divide by 3

Substituting this value into either equation above, you get ...

  x + 0 = 4

  x = 4

The solution is (x, y) = (4, 0).

the answer is 96 degrees

step-by-step explanation:

you have to realize that a line equals 180 degrees

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is