Question

PLEASE HELP!
Use the Substitution Method to solve the following system of equations.
2x + y = 3
-3x + 4y = 1

A. (1, 1)

B. (-1, -1)

C. (1, -1)

D. (-1, 1)

Answer 1

The substitution method is where you try to get either \(x=\text{something to do with y}\) or \(y = \text{something to do with x}\), from one equation and substitute that information into the other equation. In this example, you may take equation 1\[2x+y = 3\], and rearrange it to become \[y=3-2x\]. Now in equation 2, replace \(y\) with \(3-2x\), and solve for x.

Answer 2

Whats the answer? I still dont get it?

Answer 3

Well if you take it a step further, where equation 2 normally looks like \[-3x+4y=1\], by performing this substitution, you replace \(y\) with \(3-2x\), so you get \[-3x + 4(3-2x)=1\]. Now you can use the various arithmetic and algebraic techniques in your toolbox to try to simplify this statement, and get down to the stage where you can say \[x=?\]