Mathematics
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bella2025:
4. solve by Substitution
-3x + 2y = 11
x = y + 4
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bella2025:
-3x+2(1)=11
am I right
bella2025:
-3x+2=11
-2
-3x=9/-3
x=-3
Joe348:
so what you want to do is plug in the second equation into the first equation
Joe348:
it would look like this
bella2025:
@joe348 wrote:
it would look like this
I see what I did wrong I was trying to solve for y first instead of x
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bella2025:
@joe348 wrote:
it would look like this
-3(1y+4)+2y=11
Joe348:
no
Joe348:
it should be \[-y-12=11\]
Joe348:
then add 12 on both sides
bella2025:
where do you get 12
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Joe348:
\[-y=23\]
Joe348:
@bella2025 wrote:
where do you get 12
I substitued the second equation for the first equation
Joe348:
so like this ...
Joe348:
\[-3(y+4)+2y=11\]
Joe348:
then i simplied it with \[-y-12=11\]
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Joe348:
then on both sides you add 12
Joe348:
\[-y=23\]
bella2025:
where did you get -y
Joe348:
then divided by that -y and you get \[-23\]
Joe348:
okay you see the 2nd equation plugged in?
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Joe348:
after that i simplified the equation
Joe348:
like i was saying \[y=-23\]
Joe348:
so since \[y=-23 \] you want to plug that in for the second equation to figure out what X is
Joe348:
so you know the second equation is \[x=y+4\] so you plug \[-23 \] for y
Joe348:
so \[x=-23+4\] then subtract that and you should get \[x=19\]
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Joe348:
so your final answer are \[x=19 \ and\ y=-23\]
Joe348:
did i help in any way or are you still confused?
bella2025:
@joe348 wrote:
did i help in any way or are you still confused?
no I figured it out
Joe348:
oh okay good