Question #28ba7

1 Answer
Dec 18, 2017

x=-11, y=5

Explanation:

color(red)("To find x and y, you need to solve these equations simultaneously:")

y=-2x-17 .........(1)

-x+11y=66 .........(2)

sub (1) into (2):

-x+11(-2x-17)=66

color(red)("Expand the brackets:")

-x-22x-187=66

color(red)("Group like terms:")

-23x-187=66

color(red)("Put all integers on the right:")

-23x=253

color(red)("Isolate x:")

therefore x=-11

color(red)("Now to find y:")

sub x=-11 into (1):

y=-2(-11)-17

color(red)("Expand brackets and simplify:")

y=22-17

therefore y=5

color(red)("Putting what we have found all together:")

therefore x=-11, y=5