How do you solve #10-2.7y=y+9#?

Question

1756 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-04T21:24:19

#y=10/37 or 0.270270270...# (recurring dots over 2 and 0)

If we try to get coefficients on one side and variables (in this case, y) on the other.

#10-2.7y=y+9#

When we move coefficients and variables across the equal sign, their signs (+ or -) swap. + to - and vice versa.

#10-9=y+2.7y#
#1=3.7y#

#:.#

#1/3.7=y#

Again signs swap when moved about equals sign. Here,#xx#changes to #-:#.

y= 10/37