A pair of equations is shown below.
y = 3x - 5
y = 6x - 8
Part A: Solve the system of equations using a graph, substitution, or elimination. Show or explain everything you did to find the solution.
Part B: Explain what the solution represents.
If you choose to solve by graphing, download the provided document, complete your work, save the document, and submit it in the last question of the test.
Module 6 Test Graph.docx
Part A:
To solve the system of equations y = 3x - 5 and y = 6x - 8, we can use the substitution method.
We substitute the expression for y from the first equation into the second equation:
3x - 5 = 6x - 8
Next, we can simplify the equation:
-3x = -3
Dividing by -3 on both sides gives us:
x = 1
Now, we can substitute the value of x back into either of the original equations. Let's use the first equation y = 3x - 5:
y = 3(1) - 5
y = 3 - 5
y = -2
Therefore, the solution to the system of equations is x = 1 and y = -2.
Part B:
The solution x = 1 and y = -2 represents the point of intersection between the two lines represented by the equations y = 3x - 5 and y = 6x - 8. This point is where the two lines cross each other on the coordinate plane.