# What is the sum of7x-4y= 19 17x-2y= -31

1
by memealvz454

2014-11-18T15:10:34+08:00
Elimination method?

Let's do it like this

Align the two equation

7x  - 4y =  19
+17x - 2y  = -31
-------------------------

Let's begin with

19 + (-31)

unlike terms will be subtracted and take the sign of the bigger number

So it will be -12

Next

-4y + -2y

Like terms will be added and copy the sign of the two

So it will be -6y

Lastly,

7x + 17x

So it will be 24x

We may now combine the three

24x - 6y = -12

That's it

We may divide all by 6 to simplify

(24x - 6y)/6 = -12/6

So it will be

4x - y = 2

That's it again

I hope it helps
{"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}