Question

Here is the 1st one

Answer 1

the solution is the point where both the lines intersect

Answer 2

look at the graph, where do the lines cross each other ?

Answer 3

The answer would be C?

Answer 4

3.2?

Answer 5

Perfect! Note that the point (3, 2) exists on both the lines

Answer 6

Ok, thank you so much! Here is the 2nd one....

Answer 7

you may solve them by substitution

Answer 8

What do you mean?

Answer 9

substitue the value of `y` from first equation into the second equation

Answer 10

I am still a little confused...could you show me?

Answer 11

y = 3/2x
y = -1/2x + 4

substituting the value of `y` from first equation into the second equation, you get :
3/2x = -1/2x + 4

Answer 12

Ok, I see. What would you do next?

Answer 13

add 1/2x both sides :

3/2x + 1/2x = 4

4/2x = 4

2x = 4

x = ?

Answer 14

x=2?

Answer 15

yes!

Answer 16

Great! So how would that be the answer to the question?

Answer 17

plug that `x` value in any one of the given equations to get the `y` value

Answer 18

2,?

Answer 19

the solution is a point,
and a point is represented using x, y coordinates : (x, y)

Answer 20

Yes, so 2 is the y coordinate right?

Answer 21

so you need to solve both x and y values

x = 2
y = ?

Answer 22

Ok, so how do we find the y value?

Answer 23

plug the x value in any of the given equations

Answer 24

OH! I See

Answer 25

maybe plug it in first equation :

y = 3/2x

Answer 26

would y=3 if you plugged it in to the 2nd equation?

Answer 27

yes!

Answer 28

(2, 3) is the solution to the given system of equations

Answer 29

So the answer would be 2,3?

Answer 30

\(\large \color{red}{\checkmark}\)

Answer 31

Thank You SO Much! Do you mind if I ask a few more? I really want to do well on my Math Quiz and you are helping tremendously!

Answer 32

Please help! Will medal and fan :)