Question

2. What is the new correction equation using the Equal Values Method for the following system below?

y=2x+1
y = 6-3x

Answer 1

new equation: 2x +1 = 6 -3x

solution: (x, y) = (1, 3)

Explanation:

The Equal Values Method of solving a system of equations has you equate the two expressions that are equal to the same variable or expression. Here, we have two expressions that are equal to y.

equation

The next step is to set them equal to each other:

2x +1 = 6 -3x

__

solution

This equation can be solved by adding 3x -1 to both sides to get ...

5x = 5

Then dividing both sides by 5 gives ...

x = 1

Substituting into either expression for y gives its value:

y = 2x +1 = 2(1) +1 = 3

The solution to the system is (x, y) = (1, 3).