How do you solve for y in #18x-2y=26#?

Question

5426 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-01T19:13:45

#y=9x-13#

Given:#" "18x-2y=26#
'..................................................................................................

Add #color(blue)(2y)# to both sides

#color(brown)(18x-2ycolor(blue)(+2y)" "=" "26color(blue)(+2y))#

#18x+0" "=" "26+2y#

'................................................................................................

Subtract 26 from both sides

#color(brown)(18xcolor(blue)(-26)" "=" "26color(blue)(-26)+2y)#

#18x-26" "=" "2y#

'...........................................................................................

Divide both sides by #color(blue)(2)#

#color(brown)((18x-26)/color(blue)(2))" "=" "color(brown)(2y)/(color(blue)(2))#

#9x-13=y#

Write as:

#y=9x-13#