Question

MATH HELP PLZ MEDAL AND FAN

Answer 1

What's your question?

Answer 2

THIS

Answer 3

Ok, before we proceed, tell me how many solutions will a system of equation have if both equations are the same?

For example if your system is,
y=2x-7
y=2x-7

Answer 4

ok thanks

Answer 5

i know the first one i need help on the second one

Answer 6

if you know the first one, can you answer my question and tell me what you got for #1?

Answer 7

many solution

Answer 8

yes, good!
Infinitely many...

Answer 9

what about the second one

Answer 10

can you just give me the answers i have to go

Answer 11

Your second equation in system #2 can be easily rearranged.

\(\color{#000000 }{ \displaystyle 3y-15x=18 }\)
\(\color{#000000 }{ \displaystyle 3y-15x\color{blue}{+15x}=\color{blue}{+15x}+18 }\)
\(\color{#000000 }{ \displaystyle 3y=15x+18 }\)
\(\color{#000000 }{ \displaystyle \color{blue}{(}3y\color{blue}{)} \color{blue}{\div 3}= \color{blue}{(}15x+18\color{blue}{)} \color{blue}{\div 3} }\)
\(\color{#000000 }{ \displaystyle y=5x+6 }\)

Answer 12

So, you can rewrite your system the folowing way,

\(\color{#000000 }{ \displaystyle y=5x+7 }\) (your 1st equation)
\(\color{#000000 }{ \displaystyle y=5x+6 }\) (your 2nd equation after rearrangment)

Answer 13

so both is many solution

Answer 14

This is one system of equation (not two separate problems, as you seemed to consider).

We can also subtract 5x from both sides of each equation, and we will get,

\(\color{#000000 }{ \displaystyle (y-5x)=7 }\)
\(\color{#000000 }{ \displaystyle (y-5x)=6 }\)

Answer 15

\(\color{#000000 }{ \displaystyle (y-5x) }\) is going to be some (single/one) number.
Can this number be equal to 6 and to 7 at the same time?

Answer 16

(we just don't know what this number is, but it is one number that must have not more than 1 value)

Answer 17

Also, notice, if we assume that
\(\color{#000000 }{ \displaystyle (y-5x)=7 }\) and \(\color{#000000 }{ \displaystyle (y-5x)=6 }\)

then, we would have to say \(\color{#000000 }{ \displaystyle 7=6 }\)

Answer 18

(the "a=b, a=c, then b=c" principle)

Answer 19

@Lexi_Loves hello

Answer 20

Infinity many I think lol

Answer 21

OK

Answer 22

FOR BOTH

Answer 23

Yea.