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Krista Schmidt
Mathematics
15 August, 06:53
X+6y=27
7x-3y=9 por metodo de igualacion
+4
Answers (
1
)
Zaid Campos
15 August, 07:03
0
(3,4)
Step-by-step explanation:
The system of equations is:
x+6y=27
7x-3y=9.
I looked up "metodo de igualacion". It is basically American for doing substitution.
However, the only difference is you are asked to solve both equations for a variable.
The first equation looks easy to solve for x. So I'm going to solve both equations for x.
x+6y=27
Subtract 6y on both sides:
x = -6y+27
7x-3y=9
Add 3y on both sides:
7x = 3y+9
Divide both sides by 7:
x = 3/7 y + 9/7
So both equations are solved for x. You want to find when the x's are the same because you are looking for a common amongst the lines given.
So we have
-6y+27=3/7 y + 9/7
I hate the fractions honestly so I'm going to multiply both sides by 7 so they will no longer be for now:
-42y+189=3y + 9
Now add 42y on both sides:
189=45y+9
Subtract 9 on both sides:
180=45y
Divide both sides by 45:
4=y
If 4=y, then y=4.
So now once we have obtain 4 for y, we will use one of the equations given along with it to find x. Just choose one. Choose the easier looking one to you.
I like the x=-6y+27 with y=4.
So replace y with giving you:
x=-6 (4) + 27
x=-24+27
x=3
So the solution is (x, y) = (3,4).
x=3 and y=4.
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