System of Linear Equations Project
By: Samantha Paxton
word problem
Volkswagen 1.8T
2015 Jeep Wrangler Sport 4x4
system of linear equations and graph
System of linear equations for the Volkswagen Beetle-
y = .07 x + 24,425
System of linear equations for the 2015 Jeep Wrangler-
y= .11 x + 23,990
Check Graph with Elimination
Subtract .07 from both sides giving you:
-.07x + y= 24,425
Y=.11x+23,990
Subtract .11 from both sides giving you:
-.11x + y = 23,990
Now, multiply -.11x + y = 23,990 by -1 which would give you: .11x - y = -23,900. And you are ready to eliminate!
-.07x + y = 24,425
.11x - y = - 23,990
y-y= 0, so you can now get rid if the y values, add the x values, and subtract the 24,425- 23,990, which will give you the equation:
.04x=435
You can now divide .04 by both sides giving you:
X = 10, 875
You can now substitute the x value we just found into one of the equations to find the y value.
y = .07 (10,875) + 24,425
y = 25,186.25
This means that at 10,875 miles, the two cars' prices will be equivalent at $25,186.25.