Question

4x - 2y = 6

2x + y = 5

Solve

Answer 1

do you know how we would start

Answer 2

yeah buy the 2x?

Answer 3

i think elimination would be easiest to use

Answer 4

do you know how to do elimination/substitution

Answer 5

i think so

Answer 6

\[4x-2y= 6 \]

Answer 7

lets do this one and i try the other on my own?

Answer 8

you have to have both in the first one

lets do elimination 4x-2y=6 2x+y=5

Answer 9

one of the y's are negative so lets look at the second equation to eliminate y we need them to be same number but opposite signs

Answer 10

to get 2y we multiply the whole equation by 2
\[4x-2y=6\] \[4x+2y=10\]

Answer 11

now we cancel out the y's\[4x=6\]\[4x=10\]

Answer 12

combine both equations together
\[8x=16\] solve for x

Answer 13

2

Answer 14

2x?

Answer 15

alright so x=2 now we substitute this in to one of the equations

Answer 16

lets substitute it in for the second equation since y is by itself
\[2(2)+y=5\]

Answer 17

why do that?

Answer 18

because we found x we substitute it in for 1 equation to solve for y

Answer 19

ohhhh ok

Answer 20

so can you solve for y?

Answer 21

so what next

Answer 22

multiply 2 and 2 together then subtract the product into 5

Answer 23

y=?

Answer 24

-1?

Answer 25

why would it be negative?

Answer 26

you said to multiply 2 x 2 = 4 then subtract 5 right?

Answer 27

no subtract 4 into 5

Answer 28

5-4

Answer 29

1 OMG

Answer 30

yes lol x=2 y=1
(2,1)

Answer 31

thanks :)