Paige's claim can be verified through three methods: substitution, elimination, and graphing. Each method involves using the potential solution (-2,-5) to determine if it is a valid solution to the given systems of linear equations.
The verification of Paige's claim that the solution to the systems of linear equations y=2x-1 and -12x+3y=9 is (-2,-5), can be achieved by using three distinct methods. These methods include: 1. Substitution; 2. Elimination; and 3. Graphing.
Substitution: You substitute the x and y values of the proposed solution into both equations to verify whether both are true. In this case, substituting x=-2 and y=-5 into both equations should confirm whether Paige's claim is correct.
Elimination: You can add or subtract the two equations in order to eliminate one of the variables and solve for the other. You then confirm if the solution matches Paige's claim.
Fianlly, Graphing: You graph both equations on the same axes and determine their point of intersection. If the point of intersection is (-2,-5), then Paige's claim is verified.
#SPJ12
I would've helped, but I don't see the questions. Where are they?
4 cups
48 fl. oz.
2 pints
48 fl. oz. is not equivalent to 1 quart, 4 cups, and 2 pints as it is equal to 6 cups while the others are equal to 4 cups.
To determine which measurement is not equivalent to the others, we need to convert all the measurements to the same unit. Let's convert all the measurements to cups:
From the conversions, we can see that 48 fl. oz. is not equivalent to the others since it is equal to 6 cups, while the others are all equal to 4 cups.
#SPJ3
Answer:
27 + 6x = 8.25x
Number of movies (x) = 12
Step-by-step explanation:
Given that:
VIP membership :
Membership fee = $27 per year
Amount per movie = $6
Hence ;
Membership fee + (amount per movie * number of movies)
27 + 6x - - - (1)
Non member :
Amount paid per movie = $8.25
amount per movie * number of movies)
8.25x - - (2)
Let Numbe of movies = x
In other to pay the same amount of money :
Equate (1) and (2)
Equation :
27 + 6x = 8.25x
8.25x - 6x = 27
2.25x = 27
X = 12 movies