Question

Solve this system of equations using the addition method.
6a - 5b =9
2a + 5b = 23 @Bea_26

Answer 1

If you notice, you can see that the 5b's can be eliminated because they are opposite signs.. When you eliminate the 5bs, what do you have left?

Answer 2

Make sure when you see what you have left, you are adding the rest of the equation to each other. That's because the only way we eliminated the 5b was through addition, so don't forget that!!

Answer 3

i dont get u

Answer 4

Okay, I tried.. :(

Answer 5

6a - 5b =9
2a + 5b = 23

add the equations like this

( 6a - 5b ) + ( 2a + 5b )= ( 9 )+( 23 )
6a + 2a - 5b + 5b = 9 + 23

Answer 6

then wht do i do

Answer 7

simplify

Answer 8

do i simplify the whole thing

Answer 9

you are solving for a

this could be a first step
(6 + 2)a + (- 5 + 5)b = 9 + 23

Answer 10

whats 6a + 2a ?
whats - 5b + 5b ?
whats 9 + 23 ?
add these and what do you get ?

Answer 11

6a+2a=8a
5b+5b=10b
9+23=32
and then what do i do

Answer 12

*
-5b+5b=

Answer 13

wht was tht @UnkleRhaukus

Answer 14

check this one again...-5a + 5b.....they cancel each other out leaving 0
let me rephrase this....
6a - 5b = 9
2a + 5b = 23
------------
8a + 0 = 32
8a = 32

Answer 15

one of the five b's is negative

Answer 16

@texaschic101 so whts the answer

Answer 17

You solve them simultaneously by multiplying (2a+5b=23) by -3 so that the coefficient of a becomes -6 and then a is eliminated;
(2a+5b=23)*-3 >-6a-15b=-69...(1)
6a-5b=9
-6a-15b=-69

-20b=-60
b=3

6a-5(3)=9
a=-1

Am I Correct.?

Answer 18

right now, we have this...
8a =32
you want to get x by itself, so now you divide both sides by 8
can you do that ?

Answer 19

@Bea_26 ....she has to do addition property, not multiplication

Answer 20

did you figure it out @shorty17 ?

Answer 21

@texaschic101 it addition

Answer 22

Well sorry smarty pants Texas.. whatever your name is.