Question

Solve the following system by using graph paper or graphing technology.

3x – 2y = 7
9x – 6y = 3

What is the solution to the system?

No Solutions

Infinite Solutions

(3, 2)

(3, –2)

Answer 1

@ash2326

Answer 2

@Gabylovesyou Multiply first equation by 3

Answer 3

3x - 2y = 21 ?

Answer 4

\[3\times (3x-2y)=3\times 7\]
You have to multiply by 3 on both sides. We can't do any operation on only one side be it add, sub, mul or division

Answer 5

oh lol well i get 3 x (3x - 2y) = 21x

Answer 6

Simplify it

Answer 7

Right side is not x, but multiplication sign (x)

Answer 8

i simplify that ^^

Answer 9

Simplify it and compare it with the second equation. What do you see?

Answer 10

pair of intersecting lines ?

Answer 11

Don't arrive at the answer, tell me what do you see in the two equations?
Is there any similarity?

Answer 12

x = 0? mmm idk help?

Answer 13

Write the first equation here, after multiplying by 3 :) I'll help you figure this

Answer 14

3x (3x - 2y) = 3 x 7

Answer 15

You have to multiply 3 to the left side and right side.
3x7=21 isn't it?????

Answer 16

yes lol

Answer 17

@Gabylovesyou You have to multiply 3 to the left side also
do it, would you?

Answer 18

.-. ... im lost now

Answer 19

\[3\times (3x-2y)=21\]
\[3\times 3x- 3\times 2y=21\]
\[9x-6y=21\]
Do you get this?

Answer 20

oh lol yeses

Answer 21

Now write this and the second equation here

Answer 22

9x - 6y = 21
the second equation as in the solution for the variable y

Answer 23

The second equation which is in the question

Answer 24

9x - 6y = 3

Answer 25

what about the left side of both equations?
Is it same?

Answer 26

yes

Answer 27

so if you compare them, it means that
\[21=3\]
Is this true?

Answer 28

yes

Answer 29

is 21 = 3?