Question

use elmination method to solve system of equations
a+8b=17
a+3b=2

Answer 1

because the variable a already have the same coefficients you can just subtract the two equations
(a+8b)-(a+3b)=17-2
a+8b-a+3b=15
11b=15
b=15/11

Answer 2

then just substitute b with 15/11 to solve for a

Answer 3

ok thanks

Answer 4

how did you get 17

Answer 5

oh i see

Answer 6

17 is the answer of the first equation a+8b=17
2 is the answer of the second equation a+3b=2

Answer 7

so the subtration is used to elminate

Answer 8

yes, it the equations were
a+8b=17
-a+3b=2
then you would use addition to eliminate the a

Answer 9

i see

Answer 10

how do I get 17 in the equation when replacing 15/11 for b

Answer 11

a+8(15/11)=17
a=17-120/11
a=67/11

Answer 12

am confused because for my answer choices it has
a. one solution type ordered pair
b. many solutions
c. no solutions

Answer 13

wait that's wrong, i think i did my math wrong

Answer 14

ahh i see, i subtracted wrong, when you subtract it should be (a+8b)-(a+3b)
a+8b-a-3b
5b=17-2=15
b=3

Answer 15

substitute b with 3 in one of the original equations a+3(3)=2
a+9=2
a=-7
check to see if it works in the first equation
-7+8(3)=17
-7+24=17
17=17

Answer 16

good?

Answer 17

yea :)