Answer: A
We could solve it but it's easier to just check the given solutions.
A. (7,1)
2y + 5 = 2(1)+5 = 7 = x, good
x/3-y = 7/3 - 1 = 4/3, good
B. (-3,8)
2y + 5 = 2(8)+5 = 21 not x=-3, doesn't check
C. Can't be true because we found a solution
D. Infinitely many solutions not true because the lines have different slopes
Correct!
no matter what value we enter in for x, the statement will always be incorrect
3(1)=3(1)+4
3 = 3+4
3
7
We can use point slope form to solve for this.
y - 1 = -2(x - 2)
Simplify.
y - 1 = -2x + 4
Add 1 to both sides.
y = -2x + 5
Now, we can input -3 for x and solve for y, or r in this case.
y = -2(-3) + 5
y = 6 + 5
y = 11
r = 11
Started with: $60
left with: $10
items bought: 20
60 - 10 = 50 < amount spent
50/20 = amount spent/items bought
= $ 2.50 < each chocolate
you can check this by multiplying the items bought and the amount each item cost to get how much you spent
20 × 2.5 = 50
Stephanie started off with 60 dollars and ended with 10 dollars
60 - 50 = 10
hope this helps :)
