Question

please help: Use the substitution method to solve the linear system.
1/2x+y=2
2x+3y=9
different problem
1/3x+5/6y=1
1/2x-y=1

Answer 1

@Desiree97 would you like me to show you how to do the first one?

Answer 2

sure

Answer 3

ok lets take (1/2)x+y=2
rewrite it to say y=?
tell me what that would be

Answer 4

y=1/2x+2

Answer 5

when you move (1/2)x to the other side, you need to switch the sign to negative
so
y=2-(1/2)x

Answer 6

Now sub this into the second equation

Answer 7

what do you get?

Answer 8

i have x-4=9 so x = 13

Answer 9

no, 2x+3(2-(1/2)x)=9
solve for x tell me what you get

Answer 10

waiting........

Answer 11

x=5

Answer 12

no
2x+3(2-(1/2)x)=9
distribut 3
2x+6-(3/2)x=9
-6 -6
(4/2)x-(3/2)x=3
(1/2)x=3
mulitply 2 to both sides
x=6

Answer 13

now that you know x=6
use 2x+3y=9 sub for x and tell me what y is

Answer 14

waiting.....

Answer 15

y=13

Answer 16

2(6)+3y=9
solve for y....... your y value is incorrect

Answer 17

y =7

Answer 18

want to show some steps because once again you are incorrect

Answer 19

yeah show me some steps

Answer 20

no, I would like you to show me some steps
first step is 2(6)+3y=9