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Mathematics 22 Online
OpenStudy (anonymous):

PLEASE HELP ME

OpenStudy (anonymous):

OpenStudy (solomonzelman):

just writing to have a vision of them. \(\large\color{slate}{ 5x-y=27 }\) \(\large\color{slate}{ 2x+3y=-13 }\)

OpenStudy (anonymous):

ok

OpenStudy (solomonzelman):

What you can do is: rearrange the first equation to y=.... (solve for y in the first equation)

OpenStudy (solomonzelman):

(the steps for this rearrangement: 1) add y to both sides 2) subtract 27 from both sides

OpenStudy (anonymous):

ok let me see if I can do it

OpenStudy (anonymous):

5.4? can you help me start it off

OpenStudy (solomonzelman):

\(\large\color{slate}{ 5x−y=27 }\) \(\large\color{slate}{ 5x−y\color{red}{+y}=27\color{red}{+y} }\) \(\large\color{slate}{ 5x=27+y }\) \(\large\color{slate}{ 5x\color{red}{-27}=27+y\color{red}{-27} }\) so \(\large\color{slate}{ y= }\) ??

OpenStudy (solomonzelman):

click on the question above or below, rejoin and question marks will dissapear

OpenStudy (solomonzelman):

(apologize for the question marks) can you see my reply, or should I repost it?

OpenStudy (anonymous):

yes i can

OpenStudy (solomonzelman):

okay, so then, tell me what you get for y (in the first equation, in terms of x)

OpenStudy (anonymous):

ok one sec

OpenStudy (solomonzelman):

take your time...

OpenStudy (anonymous):

-22?

OpenStudy (solomonzelman):

you already solve for y?

OpenStudy (solomonzelman):

\(\large\color{slate}{ 5x\color{red}{-27}=27+y\color{red}{-27} }\) \(\large\color{slate}{ 5x\color{red}{-27}=\color{red}{\cancel{27}}+y\color{red}{\cancel{-27}} }\)

OpenStudy (solomonzelman):

and so you get that y=?

OpenStudy (anonymous):

so basically 5-27?

OpenStudy (solomonzelman):

was about to reply, and lost conection

OpenStudy (solomonzelman):

\(\large\color{slate}{ y=5x-27 }\) is right

OpenStudy (solomonzelman):

your second equation is: \(\large\color{slate}{ 2x+3y=-13 }\) Substitute \(\large\color{slate}{ 5x-27 }\) instead of y, into the second equation.

OpenStudy (solomonzelman):

\(\large\color{slate}{ 2x+3(5x-27)=-13 }\) like this

OpenStudy (solomonzelman):

can you solve for x?

OpenStudy (anonymous):

so were done with the first equation

OpenStudy (solomonzelman):

yes (for now at least)

OpenStudy (solomonzelman):

you need to solve for x.

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

i kinda need help starting this one @SolomonZelman if you want to help

OpenStudy (anonymous):

i will try one sec

OpenStudy (anonymous):

2x + 3y = -3 x + 3y = -3 2x + y = y = -3 ?

OpenStudy (solomonzelman):

can you expand `3(5x-27)` ?

OpenStudy (anonymous):

are you asking me can i do it or is that possible to expand it

OpenStudy (solomonzelman):

can you do it

OpenStudy (anonymous):

i'll try

OpenStudy (anonymous):

3(5x-27) 3 + x = 27= 27 + 5x

OpenStudy (solomonzelman):

Just like \(\large\color{slate}{ a(b-c)=a\cdot b - a\cdot c =ab-ac }\) so is, \(\large\color{slate}{ 3(5x-27)=3\cdot 5x -3\cdot 27 =15x-81 }\)

OpenStudy (solomonzelman):

so you get: \(\large\color{slate}{ 2x+3(5x-27)=-13 }\) \(\large\color{slate}{ 2x+15x-81=-13 }\)

OpenStudy (solomonzelman):

now, add the x's on the left side, what do you get/

OpenStudy (anonymous):

x = 1 right ?

OpenStudy (anonymous):

@SolomonZelman

OpenStudy (solomonzelman):

no that is not right-:( Can you add the x's on the right side, and tell me what you get please.

OpenStudy (solomonzelman):

I mean on the left side, excuse me

OpenStudy (anonymous):

3x + 16x - 81 = -3 ?

OpenStudy (solomonzelman):

15+2 = ?

OpenStudy (anonymous):

17

OpenStudy (anonymous):

@SolomonZelman

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