Answer:
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Write equations for both companies:
Company A = 80 + 0.30x
Company B = 20 + 0.50x
X = number of miles.
Set the equations to equal and solve for x:
80 + 0.30x = 20 + 0.50x
Subtract 0.30x from both sides:
80 = 20 + 0.20x
Subtract 20 from both sides:
60 = 0.20x
Divide both sides by 0.20:
x = 60 / 0.20
x = 300
The answer is 300 miles.
Use elimination to create a one variable equation.
x-3y=15 -> 2x-6y=30
2x-6y=30
+(-2x-4y=10)
------------------
-10y=40
Then solve (for y in this case).
y=-4
Now we can use the value for y to solve for x.
x-3y=15 -> x-3(-4)=15 -> x=3
Equation #1: x+y=40
Equation #2: 7x+4y=193
Monica bought 11 red bricks.
Step-by-step explanation:
Given,
Cost of one red brick = $7
Cost of one gray brick = $4
Total spent on bricks = $193
Total bricks bought = 40
Let,
x represents the number of red bricks bought.
y represents the number of gray bricks bought.
What is the system that models this situation?
Equation #1: x+y=40
Equation #2: 7x+4y=193
How many red bricks did Monica purchase?
Multiplying Eqn 1 by 4

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 3

Monica bought 11 red bricks.
Keywords: linear equation, elimination method
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