What's Another Way of Solving a System of Equations Using the Elimination by Multiplication Method?

Equations that have the same variables are considered a system of equations.
Variables are unknown values, such as "x" and "y".
We can eliminate the 'y' variable when adding the two equations together by multiplying 2x+y=6 by 2.
Since there's only one solution to this system of equations [(2,2)], it's consistent and independent.

1. Equations that have the same variables are considered a system of equations.
1. Variables can represent unknown values, such as 'x' and 'y'.
2. We can eliminate the 'y' variable when adding the two equations since the 'y' terms have opposite signs.
1. 'y' is a variable that in this case represents an unknown number
2. We can eliminate the 'y' variable when adding the two equations together by multiplying 2x+y=6 by 2.
1. Elimination got rid of 'y', but left the equation 8x=16
2. Now we can solve for 'x' by division, and that gives us half of our solution!
1. Our previous equation tells us the value of the unknown variable 'x'. Elimination helped us find that x=2.
2. 'y' is a variable that in this case represents an unknown number
1. After plugging in x=2, we're left with an equation that only contains the variable 'y'
2. We can isolate 'y' in two steps by subtracting 8 and dividing both sides by -2.
1. After plugging in x=2, we're left with an equation that only contains the variable 'y'
2. We can isolate 'y' in one steps by subtracting 4 from both sides.
1. When you see the solution represented as (2,2), remember that refers to (x,y). In other words, it means that x=2, and y=2 is the solution!

Find the solution to the following system of equations. 4x – 2y = 4 and 2x + y = 6