Question

What method would be best to solve the system of equations?

y = 2x + 1
y = 3x
A) Substitution
B) Elimination
C) Graphing
D) Matrix method

Answer 1

The best method to solve the system of equations y = 2x + 1 and y = 3x is by substitution, resulting in the solution x = 1 and y = 3.

Step-by-step explanation:

The best method to solve the given system of equations, y = 2x + 1 and y = 3x, is by using substitution. Substitution is ideal here because one equation can easily be substituted into the other since y is already isolated in both equations. Here's how you would solve it step-by-step:

1. Take the second equation, y = 3x, which gives a clear expression for y in terms of x.
2. Substitute this expression into the first equation in place of y, resulting in 3x = 2x + 1.
3. Solve for x by subtracting 2x from both sides, leading to x = 1.
4. Substitute x back into either of the original equations to find y, resulting in y = 3(1) = 3.

Therefore, the solution to the system of equations is x = 1 and y = 3.