Answer:
The Answer is 25 students.
Step-by-step explanation:
y= 2x - 5
The solution to the system of equations is x = 5 and y = 5. The coordinates (5, 5) represent the point where the two lines intersect in the xy-plane, and it is the unique solution to this system of linear equations.
Given that the system of equations:
y = 3x - 10 (1)
y = 2x - 5 (2)
Since both equations are set equal to y, equate the right-hand sides of the equations since they represent the same value of y:
3x - 10 = 2x - 5
Now, let's solve for x:
3x - 2x = -5 + 10
x = 5
Now, found the value of x, substitute it back into either of the original equations to find the corresponding value of y.
Let's use the equation (1):
y = 3x - 10
y = 3(5) - 10
y = 15 - 10
y = 5
Hence, the values of x and y are 5 and 5. The system of equations have unique solution.
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Complete question:
Solve the system of equations for x and y:
If you're looking for a solution for both equations and had a choice between the 3 ways of solving it, I would choose substitution for this problem. So..
2x-5=3x-10
Move like terms to their own sides.
Take 2x away from both sides, and add 10 to both sides. That should leave you with
5=x
Now that you have the x, plug it into the equation that works best for you to solve.
That should be y=2(5)-5
y=10-5
y=5
(5,5) is your solution.
To find the number of student and adult tickets sold at a baseball game, we can set up a system of equations using the given information. Solving the system of equations will give us the values of the variables. In this case, 150 student tickets and 250 adult tickets were sold.
Let's assume that the number of student tickets sold is 'x' and the number of adult tickets sold is 'y'.
According to the information given, the total attendance was 400 people, so we can write the equation: x + y = 400.
The total ticket sales were $1050, so we can write another equation: 2x + 3y = 1050.
Now we have a system of equations that we can solve to find the values of x and y.
Using substitution or elimination method, we find that x = 150 and y = 250.
Therefore, 150 student tickets and 250 adult tickets were sold.
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B. Yes, this is a valid inference because the 35 families speak for the whole neighborhood
C. No, this is not a valid inference because she asked only 35 families
D. No, this is not a valid inference because she did not take a random sample of the neighborhood