solve by substitution: 2x+y=0
x-3y=-7
solve by elimination: 3x+4y=1
5x-3y=21
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OpenStudy (anonymous):
Lets do the first one
OpenStudy (anonymous):
x-3y=-7 solve for x and tell me
OpenStudy (anonymous):
if you could take me through step by step that would be excellent, i have no idea how to do these at all, our teacher is out on maternity leave and she should have taught us this before she left
OpenStudy (anonymous):
yes that's what i am gonna do:)
OpenStudy (anonymous):
x-3y=-7 solve for x and tell me
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OpenStudy (anonymous):
take the -3y on other side of the equation
OpenStudy (anonymous):
-4y
OpenStudy (anonymous):
Will it become x=-7+3y
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
I mean did u get the point? or shall i explain
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OpenStudy (anonymous):
can you explain please?
OpenStudy (anonymous):
ok no problem
OpenStudy (anonymous):
x-3y=-7 is the equation right
OpenStudy (anonymous):
That is given in the question
OpenStudy (anonymous):
yes
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OpenStudy (anonymous):
By adding +3y to both sides of the (=) we get
x-3y+3y=-7+3y
OpenStudy (anonymous):
ok that makes sense
OpenStudy (anonymous):
Will -3y and +3y get cancelled out??
OpenStudy (anonymous):
i would say yes
OpenStudy (anonymous):
So,
x=-7+3y
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OpenStudy (anonymous):
Our second equation is 2x+y=0 which is given in the question
OpenStudy (anonymous):
What is the value of x we got?
OpenStudy (anonymous):
x=-7+3y
OpenStudy (anonymous):
So as the question says solve by substitution (put)
Shall we put it in our new equation 2x+y=0
2(-7+3y)+y=0 <--- does that make sense?
OpenStudy (anonymous):
ok yes substitution makes sense.
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OpenStudy (anonymous):
So,
Multiply
2*-7 + 2*3y + y = 0
OpenStudy (anonymous):
so -14 +6y?
OpenStudy (anonymous):
-14 + 6y + y =0
-14 + 7y =0
7y = 14 Remember that signs change when we take somethin on the other side of the equation
y = 14/7
y=2
OpenStudy (anonymous):
ok ok starting to make more sense!
OpenStudy (anonymous):
We got the value of y now we have to find the value of x
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OpenStudy (anonymous):
tell me any of the equations from the question
OpenStudy (anonymous):
so we still have to figure out x for the first question?
OpenStudy (anonymous):
yes we got the value of y
OpenStudy (anonymous):
can we add -7+3y together?
OpenStudy (anonymous):
to make -4y?
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OpenStudy (anonymous):
Well i don't mind teaching u but if u r completely new to this topic i would find it extremely difficult to explain u. I suggest it would be better if u ask some of your teachers or tutors because this topic ( Simultaneous equations) can't be taught through an online medium.
Did u get my point.!