Which of the following is a solution to the equation y = 3x – 1?
(1 point)
Responses
(4, 1)
(2, 5)
(4, 3)
(0, –3)
To find the solution to the equation y = 3x - 1, we substitute the values of x and y into the equation:
For option (4, 1)
x = 4, y = 1
Substituting these values into the equation:
1 = 3(4) - 1
1 = 12 - 1
1 = 11
This equation is not true, so (4, 1) is not a solution to the equation.
For option (2, 5)
x = 2, y = 5
Substituting these values into the equation:
5 = 3(2) - 1
5 = 6 - 1
5 = 5
This equation is true, so (2, 5) is a solution to the equation.
For option (4, 3)
x = 4, y = 3
Substituting these values into the equation:
3 = 3(4) - 1
3 = 12 - 1
3 = 11
This equation is not true, so (4, 3) is not a solution to the equation.
For option (0, -3)
x = 0, y = -3
Substituting these values into the equation:
-3 = 3(0) - 1
-3 = 0 - 1
-3 = -1
This equation is not true, so (0, -3) is not a solution to the equation.
Therefore, the only solution to the equation y = 3x - 1 is (2, 5).
is that right?
Apologies for the mistake in my previous response. Let's re-evaluate the solutions.
For option (4, 1)
x = 4, y = 1
Substituting these values into the equation:
1 = 3(4) - 1
1 = 12 - 1
1 = 11
This equation is not true, so (4, 1) is not a solution to the equation.
For option (2, 5)
x = 2, y = 5
Substituting these values into the equation:
5 = 3(2) - 1
5 = 6 - 1
5 = 5
This equation is true, so (2, 5) is a solution to the equation.
For option (4, 3)
x = 4, y = 3
Substituting these values into the equation:
3 = 3(4) - 1
3 = 12 - 1
3 = 11
This equation is not true, so (4, 3) is not a solution to the equation.
For option (0, -3)
x = 0, y = -3
Substituting these values into the equation:
-3 = 3(0) - 1
-3 = 0 - 1
-3 = -1
This equation is also not true, so (0, -3) is not a solution to the equation.
Therefore, the correct solution to the equation y = 3x - 1 is (2, 5).
Sal’s and Carrie’s Ages
Sal
3
5
8
13
15
Carrie
7
9
12
17
19
(1 point)
Responses
s = c + 4
s = c + 4
s = 4c
s = 4 c
c = s + 4
c = s + 4
c = 4s
To find the relationship between Sal's (s) and Carrie's (c) ages, we need to examine the given ages and identify the pattern.
Sal: 3, 5, 8, 13, 15
Carrie: 7, 9, 12, 17, 19
Looking at the ages, we can see that Sal's age is always 4 less than Carrie's age:
Sal = Carrie - 4
Therefore, the correct relationship between Sal's (s) and Carrie's (c) ages is s = c - 4.
thats wrong
Apologies for the mistake. Let's re-evaluate the ages and find the correct relationship between Sal's (s) and Carrie's (c) ages.
Sal: 3, 5, 8, 13, 15
Carrie: 7, 9, 12, 17, 19
Now, let's analyze the ages to find the pattern:
If we subtract Sal's age from Carrie's age, the results are:
7 - 3 = 4
9 - 5 = 4
12 - 8 = 4
17 - 13 = 4
19 - 15 = 4
We can see that the difference between their ages is always 4. So, the correct relationship between Sal's (s) and Carrie's (c) ages is:
c = s + 4.