Solve the system of equations.
y = 7x + 43
y = 2x + 13
a.
( -6, 1)
c.
( 6, 1)
b.
( 6, -1)
d.
No solution
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OpenStudy (anonymous):
@Gummibear127
OpenStudy (kidrah69):
plug in equation 1 into equation 2
OpenStudy (kidrah69):
\[(7x + 43)= 2x + 13\]
OpenStudy (kidrah69):
we want to isolate X so subtract 43 from both sides
OpenStudy (kidrah69):
13-43=?
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OpenStudy (anonymous):
Hey it looks like @kidrah69 is already helping you and im not really good with this any way sorry
OpenStudy (anonymous):
it says -30
OpenStudy (anonymous):
i wanted her to help though
OpenStudy (kidrah69):
yep thats correct so now we have
\[7x=2x-30\]
add 2x to 7x
2+7=?
OpenStudy (kidrah69):
@eminem-101 if you want her to help i can stop :)
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OpenStudy (anonymous):
9
OpenStudy (anonymous):
it is fine
OpenStudy (kidrah69):
ok good so we have
9x=-30 when you divide what do you get?
OpenStudy (anonymous):
0
OpenStudy (kidrah69):
No -30/9 is NOT 0
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OpenStudy (anonymous):
oh it's -3.333
OpenStudy (radar):
Why did you add the 2x to the 7x ?? Be careful.
OpenStudy (kidrah69):
dont you combine like terms?
OpenStudy (kidrah69):
oh wait you would subtract
OpenStudy (kidrah69):
right so 7-2
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OpenStudy (radar):
Yes if there is a + between them. You have an equal sign.
OpenStudy (anonymous):
5
OpenStudy (kidrah69):
right so -30/5=?
OpenStudy (anonymous):
-6
OpenStudy (kidrah69):
yep :) now plug that into the 2nd equation
\[y=2(-6)+13\]
solve that
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OpenStudy (anonymous):
1
OpenStudy (kidrah69):
\[(7x+43)=2x+13 \]
subtract 43 from both sides to isolate X
\[7x=2x−30\]
subtract 2 from 7
\[5x=-30\]
divide
x=-6
plug in -6 to equation 2
\[y=2(−6)+13\]
y=-1
OpenStudy (kidrah69):
so whats the final answer and i rewrote that so you can see what we did :)
OpenStudy (anonymous):
i got 1 not -1
OpenStudy (kidrah69):
yeah i accidently put that negative =/ so whats the final answer ? We have
(-6,1)
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OpenStudy (anonymous):
(-6,1) is the answer right
OpenStudy (kidrah69):
yep :) xD
OpenStudy (anonymous):
that you
OpenStudy (kidrah69):
that i think you mean thanks
you're welcome ;)
OpenStudy (anonymous):
sorry you are right
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