SOLUTION: what is the system of equations by the substitution method of this please help me understand :( 4x + 2y =4 3x + y =4

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Question 144945This question is from textbook Toby Slater beginning Algebra
: what is the system of equations by the substitution method of this please help me understand :(
4x + 2y =4
3x + y =4 This question is from textbook Toby Slater beginning Algebra

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The substitution method is eliminating one of the variables by substituting, or replacing it, with an expression of the other variable.
In these 2 equations, it's easy to solve for y in the 2nd eqn: y = 4-3x.
Then, substitute that for y in the 1st eqn
4x + 2(4-3x) = 4
Now you have only x, so solve for it.
4x + 8 -6x = 4
-2x + 8 = 4
-2x = -4
x = 2
Then, y = 4 - 3x
y = 4 - 6
y = -2