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Simultaneous Equations

 

These equations have 2 unknowns

2x+y=12 -1

X-y=3 -2

To find the x and y values you must first eliminate one of, so in this case eliminate y

Equations 1 take away equation 2

2x+y=12

next you want to put the X value into one of the

Add X-y=3

equations. I suggest the equation with the

______

Smallest values

3x =15

Sub X =3 into equation 2

X = 5

5-Y=3

2-Y=0 (-3)

2 = Y (+Y)

Therefore, the order that you should solve these is

· Label equations 1 and 2

· Eliminate I unknown (preferable one that has the same value as in the other equation)

· Solve the other unknown

· Substitute in the value that you have found into one of the equations

· The solve it

That is the basic method that you follow for solving the equations. It is only when the 2 unknowns don't match and you have to make them Example

6x-7y=16 -1

3x-2y=5 -2

Equation 2 times 2

6x-4y=10 so now you have an unknown that matches. Call the new equation 3

Equation 1 minus equation 3

That should come out as

-3y=6 the from there just go on and solve it as normal

Y =6/-3

Y = -2

sub Y=2 into equation 2

3x+4=5

3x=1

X=1/3

 

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