How do you solve the system #3y-8x=24 and 3y+2x=9#?

1 Answer
Jul 27, 2016

Answer:

#x=3/2#

I have taken you just to this point so that you can complete the whole thing.

Explanation:

The trick is to eliminate one of the variables so that you only have one unknown left.

Write as

#" "3y-8x=24#
#" "ul(3y+2x=color(white)(2)9) " "larr" Subtract"#
#" "0-10x=15#

Multiply both sides by #(-1)#

#+10x=-15#

Divide both sides by 10

#x=-(cancel(15)^3)/(cancel(10)^2)" "larr" Divide top and bottom by 5"#

#x=3/2#

.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now just substitute #3/2# for #x# in any of the given equations and solve for #y#

#color(green)("I have left that for you to do!")#