2x + 3y = -1 5r 2y = 12?
2 answers:
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Answer:
slope1 : 7, slope 2 = 3 solution: (2,5)
Step-by-step explanation:
I simplify some steps
pair 1: x1 0 2
y1 -9 5 ........ -9, y1 intercept
pair 2: x2 0 2
y2 -1 5 ........ -1, y2 interept
2 pairs meet at (2,5)
y=7x-9 ......A
y=3x-1 ......B
A-B 0=4x-8
4x=8
x=2
y=5
slope 1=( y2-y1) / (x2-x1) = (5- -9)/(2-0) = 14/2 =7
slope 2 = (5 - -1) / (2 - 0) = 6/2 = 3
Answer:
Number of pounds of dried mangoes Chloe bought = 3.5
Number of pounds of dried kiwi Chloe bought bough = 6.5
Step-by-step explanation:
Total number of pounds of dried fruit purchased = 10
Let number of pounds of dried mango purchased =
Let number of pounds of dried kiwi purchased be =
Total weight of dried fruits purchased =
So, we have a sum equation as:
Total cost of dried fruits = $40.34
Cost of a pound of dried mango = $2.11
Cost of pounds of dried mango in dollars can be given as =
Cost of a dried kiwi = $5.07
Cost of pounds of dried kiwi in dollars can be given as =
Total cost of dried fruits in dollars =
So, we have a cost equation as:
The system of equations is :
A)
B)
Solving by substitution.
Rearranging equation A, to solve for in terms of
Subtracting both sides by
Substituting value of we got from A into equation B.
Using distribution.
Simplifying.
Subtracting both sides by 50.7.
Dividing both sides by -2.96.
∴
We can plugin in the rearranged equation A to get value of
∴
So, number of pounds of dried mangoes Chloe bought = 3.5
Number of pounds of dried kiwi Chloe bought bough = 6.5