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# Simultaneous Equations

#### Brian

##### Member
Help guys! How do I go about solving this Simultaneous equations. I used to know a little bit about simultaneous equations back in high school, but I don't anymore.

6x+2y=30
2x-y=6

#### Ezekiel

##### Official Blogger
Blogger
There are 3 methods that can be used to solve Simultaneous equations:-
• Elimination method
• Substitution method
• Graphical method
Using the Elimination method: So basically, to find the value of "y", we have to eliminate "x" by multiplying the first equation by 2 and the second equation by -6.
12x+4y=60
-12x+6y=-36

Then we simplify the equation from top to bottom. We're gonna have something like this:
12x-12x+4y+6y=60-36

After simplifying, we will have:
10y=24 {Divide both sides to get the value of "y"
y=2.4

If the value of "y" is 2.4, then we will have to substitute "y" in either of the two equations in other to find the value of "x". I will go for the second equation.
2x-2.4=6
2x=6+2.4
x=4.2

Final answer will be "y"=2.4 "x"=4.2

• Brian

#### Brian

##### Member
Thanks @Ezekiel. How about the substitution and graphical method?

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