Question

How do you solve the system using the elimination method for 2x+3y=19 , 8x-3y=-14?

Answer 1

`(x,y) = (1/2,6)`

Explanation:

[1]`color(white)("XXXX")` `2x+3y=19`
[2]`color(white)("XXXX")` `8x-3y=-14`

Add [1] and [2] (eliminating the `y` term)
[3]`color(white)("XXXX")` `10x = 5`
[4]`color(white)("XXXX")` `x= 1/2`

Substitute `x=1/2` in [1]
[5]`color(white)("XXXX")` `2(1/2)+3y = 19`
[6]`color(white)("XXXX")` `3y = 18`
[7]`color(white)("XXXX")` `y = 6`