Question

What is the solution to the system of equations? https://static.k12.com/bank_packages/files/media/mathml_9126ef8d2eddfa27c0e82bd3ceed854ab4f713a1_1.gif ( , )

Answer 1

Hi :)
ok so we are given 2 equations
4x+y=2 <---equation 1
x-y=3 <---equation 2
We need to isolate x in equation 2 so that we can use the substituion metho
x-y=3
Can you isolate x?

Answer 2

lol could you walk me through it please

Answer 3

All you need to do is add y to both sides :P

Answer 4

What do we have once we add y to both sides?

Answer 5

you have 4x+ y= 2y
x - y = 3y

Answer 6

right?

Answer 7

Yes but we want to isolate x so that the equation will look like x=_____

Answer 8

Oh

Answer 9

lol idk how to do that in this problem

Answer 10

to isolate x you add y to both sides
x - y = 3y
x - y +y= 3y+y

Answer 11

x=4y

Answer 12

4x+y=2 <---equation 1
x=4y <---equation 2
now you take the value of x and plug it into equation 1
4(4y)+y=2
solve for y

Answer 13

9y=2

Answer 14

4 x 4 =?

Answer 15

8

Answer 16

Multiplying...

Answer 17

?

Answer 18

Ok let's start over
ok so we are given 2 equations
4x+y=2 <---equation 1
x-y=3 <---equation 2
To use the substitution method we need to isolate a variable look at equation 1 there is already a vairble by itself lets isolate it
all we need to do is subtract 4x from both sides now we have
y=−4x+2 <---equation 1
x−y=3 <---equation 2
Are we good so far?

Answer 19

so my answer is 4,5

Answer 20

No. That's incorrect

Answer 21

y=−4x+2 <---equation 1
x−y=3 <---equation 2
We take equation 1 and plug it into equation 2 in place of y
x-(-4x+2)-y=3
solve for x

Answer 22

5x-2-y=3

Answer 23

5x-y=5

Answer 24

There is no y my bad
5x-2=3 is correct
continue on :)

Answer 25

5x=5

Answer 26

x=1
or
x=25

Answer 27

No we divide so x=1 is correct :)

Answer 28

so my answer is one?

Answer 29

For x yes it is one now lets solve for y
Substitute 1 for x in y=−4x+2
y=−4x+2
y=(−4)(1)+2

Answer 30

y=-2

Answer 31

Well done =)

Answer 32

thank you so much!

Answer 33

yw ^_^

Answer 34

my answer is (1,-2)

Answer 35

Correct

Answer 36

thanks