Answer:
7
Step-by-step explanation:
it is 1/6 that is the anwser
The system of equations is
x - 2y = 2 (1)
3x + y = 6 (2)
From (1), obtain
x = 2y + 2 (3)
Substitute (3) into (2).
3(2y + 2) + y = 6
6y + 6 + y = 6
7y = 0
y = 0
From (3), obtain
x = 2*0 + 2 = 2
Answer: (2, 0) or x=2, y=0
Answer: Cashews are $4 per pound
Peanuts are $3 per pound
Explanation
Let x = Cashews
Let y = Peanuts
Given the information above
Rosa's purchase is equation number 1
x + 2y = 10
Sabrina's purchase is equation number 2
2x + y = 11
We have
Equation 1 x + 2y = 10
Equation 2 2x + y = 11
If we multiply equation 1 by negative 2 we can eliminate x and solve for y as follows:
-2(x + 2y = 10) gives
-2x - 4y = -20
Combine this with the equation 2
-2x - 4y = -20
2x + y = 11
The x is eliminated and we get
-3y = -9
Divide both sides by - 3 to solve for y and we get
y = 3
We substitute this value for y back into equation 2 to solve for x
2x + 3 = 11
2x = 11 - 3
2x = 8
Divide both sides by 2 to solve x we have
x = 4
Cashews are $4 per pound
Peanuts are $3 per pound
I hope that this will help you.
