Question

4x + 2y = 6
x – y = 3
???

Answer 1

You need to solve for x and y?

Ok, take one equation and then solve that equation for one of the variables. I suggest taking the second one and solving it for x.

Answer 2

There are two methods to solve this

1)Elimination.

2)substitution.


Which one do you prefer ?

Answer 3

For this, i think it would be easiest to use substitution:
4x + 2y = 6
x - y = 3

For substitution, you have to isolate one of the variables in one of the equations. the easiest one would be to isolate the x term in the second equation.
carry over the y term:
x - y = 3
+ y + y
---------
x = y + 3 Now you can plug this in for x in the first equation
4 ( y + 3) + 2y = 6 Now distribute
4y + 12 + 2y =6 Next, combine like terms, solve like a regular equation
6y + 12 = 6
- 12 - 12
------------
6y = -6
y= -1 Now plug this value back in to the first or second equation to get the value of x

x - (-6) = 3
x+6 = 3
x= -3