Question

URGENT NEED ANSWERS ITS ALGEBRA TOPIC 4!!!!! 7. Ben went to the farmer's market with $14.00, bought 2 pounds of cherries and still had

enough money left to buy 3 pounds of apples. Tom went to the farmer's market and bought 6 pounds of apples and 4 pounds of cherries for $28.00.
14-2y= 3.x
6x+ 4y=28
HINT: What kind of solution is 14=14? What does that mean?
The boys solved the equations to find the price per pound that they paid for cherries
and found the solution 14 = 14. How should they interpret this result?
• The price of 2 pounds of cherries is $14.00.
• The price of 4 pounds of cherries is $14.00.
They made a math error when solving the equations, and should try a different solution method to find the price of the cherries.
• The two equations describe the same line, so there is not enough information to determine the price per pound of cherries.
AND
If z= -2 and y =x + 3, which point on the graph represents the coordinate pair
（2;3）？
HINT: Substitute -2 in for x in the equation y=x+3 to find the point.
P
Q
R
S

Answer 1

1. The two equations describe the same line, so there is not enough information to determine the price per pound of cherries.

2. Point P

Explanation:

14 - 2y = 3x

6x+ 4y = 28

If you rearrange the first equation you get

3x + 2y = 14

This is the same as the second equation, but just scaled by a factor of 1/2. So, they are the same line. So, the correct answer choice is:

The two equations describe the same line, so there is not enough information to determine the price per pound of cherries.

2. If y = x + 3, and x = -2, then y = -2 + 3 = 1. So, the point is (-2,1), which is point P.