Question

Travis decided to solve the following system by substitution.

1. 2x +y=3.
2. y = -2x + 4.
3. 2x + (-2x + 4) = 3.
What is the solution?

Answer 1

There is no solution to this system of equations as the lines are parallel.

Step-by-step explanation:

To solve this system of equations by substitution, we need to first solve one of the equations for one variable and then substitute that expression into the other equation. Let's solve equation 2 for y:

y = -2x + 4

Now substitute this expression for y in equation 1:

2x + (-2x + 4) = 3

Simplify the equation:

2x - 2x + 4 = 3

Combine like terms:

4 = 3

Since we arrived at an equation that is not true, there is no solution to this system of equations. The lines represented by the equations are parallel and will never intersect.