Mathematics OpenStudy (anonymous):

Did I do this problem right? Solve the linear system: 4x+3y=1 and -3x - 6y = 3 7x - 9y = -2 OpenStudy (anonymous):

Nope. OpenStudy (anonymous):

You need to find an $$x$$ and $$y$$ value. OpenStudy (anonymous):

First eliminate the $$y$$ values. OpenStudy (anonymous):

Since you have $$3y$$ and $$-6y$$. As things stand $$3y-6y=-3y$$. However if you multiply the first one by $$2$$ then $$(2)3y-6y=6y-6y=0$$. OpenStudy (anonymous):

So we multiply the first equation by $$2$$.$4x+3y=1 \to 8x+6y=2$ OpenStudy (anonymous):

Now you can add the equations: $\begin{split} &8x&+& 6y &=& 2 \\ +&-3x& -& 6y &=& 3\\ &5x&&&=&5 \end{split}$This means $$x=1$$ OpenStudy (solomonzelman):

x = 1 and y = -1 OpenStudy (anonymous):

okay so how do you get y?! OpenStudy (solomonzelman):

plug in 1 for x and solve for y OpenStudy (anonymous):

To get $$y$$ you plug $$1$$ into $$x$$ for either equation: $-3x - 6y = 3\\ -3(1) - 6y = 3$ OpenStudy (solomonzelman):

C? OpenStudy (anonymous):

yes, so just to make sure im writing it correctly, its (1,-1) ? OpenStudy (solomonzelman):

yes OpenStudy (solomonzelman):

U r correct! OpenStudy (anonymous):

thank you very much to the both of you! OpenStudy (solomonzelman):

A/t else I can help u w/? OpenStudy (anonymous):

um, let me see OpenStudy (solomonzelman): OpenStudy (anonymous):

what is the slope of the line of 4x-5y=9? OpenStudy (solomonzelman):

Lets work it together, Do u know the slope formula? OpenStudy (anonymous):

y=mx+b ? OpenStudy (solomonzelman):

Ok OpenStudy (solomonzelman):

Try to put this equation in a standard format (like y=mx+b) OpenStudy (solomonzelman):

Do u know how to do this? OpenStudy (anonymous):

y=4x+5? OpenStudy (solomonzelman):

the original equation was 4x-5y=9, and how did you get this, no!.... basically solve for y (in terms of x) OpenStudy (anonymous):

but 4 doesnt go into 9, im so confused! OpenStudy (solomonzelman):

OK! 4x-5y=9 5y=9+4x y = 9/5 + 4/5x (lets put is in a standard form the same way as y=mx+b) y= 4/5x +9/5 OpenStudy (solomonzelman):

Now answer the following for me, what is the slope and what is the y intercept? OpenStudy (anonymous):

i honestly have no idea, i dont get this. OpenStudy (solomonzelman):

What don't u get? OpenStudy (solomonzelman):

A/t? OpenStudy (solomonzelman):

lets follow the steps together. STEP 1 4x-5y=9 Do u understand y i did this? OpenStudy (solomonzelman):

I wrote the equation out, next... OpenStudy (solomonzelman):

5y=9+4x what am I doing in this STEP ? do u know? OpenStudy (anonymous):

oh i do know that you have to put y first. OpenStudy (solomonzelman):

Yes there u go! Eliminate the Y so i preformed the following steps 4x-5y=9 5y=9+4x y = 9/5 + 4/5x (lets put is in a standard form the same way as y=mx+b) y= 4/5x +9/5 OpenStudy (solomonzelman):

C ? OpenStudy (anonymous):

kinda so how do you add the 4/5x + 9/5? OpenStudy (solomonzelman):

I don't add 4/5x + 9/5, I can't and I don't have to! Once I have this equation- y= 4/5x +9/5 , I am done! Compare this to y=mx+b and tell me, in the equation that I got, what is the slope? OpenStudy (anonymous):

so it would just be 4/5? OpenStudy (solomonzelman):

Yes! CORRECT! OpenStudy (anonymous):

THANK YOU! OpenStudy (solomonzelman):

and the Y intercept would be what?

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