A few days ago

Substitution example?

Can anyone please show me how to work this out?

Example problem:

3x+2y=6

x+2y=-6

Top 1 Answers

A few days ago

Michael V

Favorite Answer

First you start by moving around one of the equations so that you get a y or an x on one side of the equation.

I will work with x:

x +2y = -6 ======> x = -6 – 2y ====> x = -6 + -2y

now that you have an x equivalent you can substitute it into the other equation.

3x + 2y = 6 ======> 3( -6 + -2y) + 2y = 6

-18 + -6y + 2y = 6 =====> -4y = 24 ====> y= -6

now that you have y you can use this to substitute it into both equations or just one to make things faster.

3x + 2y = 6 ====> 3x + 2(-6) = 6

3x + -12 = 6 Solve for x and you get x= +6

Finally x=+6 and y=-6

I hope this helps.

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