Question

solve using the elimination method 9x + 11y = 86

9x – 2y = -5 please if you understand this method explain it because I do not understand how to use it

Answer 1

ok - you have two equations and have two unknowns to find - x and y
the process involves using one equation to eliminate one of the variables.

so, from the first equation we have:

9x + 11y = 86
therefore 9x = 86 - 11y

now substitute this into the second equation to get:
9x - 2y = -5
therefore 86 - 11y - 2y = -5
therefore 86 - 13y = -5

Answer 2

from the last equation you should be able to work out what y is.

then use this value of y in any of the original equations to work out what x is.

Answer 3

does that make sense?

Answer 4

so you eliminated 9x all together?

Answer 5

yes

Answer 6

ok that is what I was doing wrong thank you so much

Answer 7

yw

Answer 8

So if im correct there is no solution?

Answer 9

there is a solution. the last equation we got to was:
86 - 13y = -5
therefore 13y = 86 + 5 = 91
therefore y = 7

now use the equation 9x + 11y = 86 to work out the value for x.