Multiple Choice
Which of the following is a solution to the equation y = 3x – 1?
(1 point)
There are no options provided to choose from. Please provide the options for a valid answer.
Multiple Choice
Which of the following is a solution to the equation y = 3x – 1?
(1 point)
Responses
(4, 1)
(4, 1)
(2, 5)
(2, 5)
(4, 3)
(4, 3)
(0, –3)
To determine if a point is a solution to the equation y = 3x - 1, we need to substitute the x and y values for the point into the equation and see if it makes a true statement.
Let's substitute the x and y values of each option into the equation and check:
Option 1: (4, 1)
Substituting x = 4 and y = 1 into y = 3x - 1:
1 = 3(4) - 1
1 = 12 - 1
1 = 11
The equation is not true, so (4, 1) is not a solution.
Option 2: (2, 5)
Substituting x = 2 and y = 5 into y = 3x - 1:
5 = 3(2) - 1
5 = 6 - 1
5 = 5
The equation is true, so (2, 5) is a solution.
Option 3: (4, 3)
Substituting x = 4 and y = 3 into y = 3x - 1:
3 = 3(4) - 1
3 = 12 - 1
3 = 11
The equation is not true, so (4, 3) is not a solution.
Option 4: (0, -3)
Substituting x = 0 and y = -3 into y = 3x - 1:
-3 = 3(0) - 1
-3 = 0 - 1
-3 = -1
The equation is not true, so (0, -3) is not a solution.
Therefore, the only solution is (2, 5).
Which equation matches the statement: “The sum of –4x and 2 is 9”?
(1 point)
Responses
–4x + 2 = 9
–4 x + 2 = 9
–4x + 9 = 2
–4 x + 9 = 2
–4x(2) = 9
–4 x (2) = 9
–4x – 2 = 9
The correct equation that matches the statement "The sum of -4x and 2 is 9" is:
–4x + 2 = 9
This equation represents the sum of -4x and 2, which is equal to 9.
Solve. x – 6 = –18
(1 point)
Responses
x = –24
x = –24
x = –12
x = –12
x = 12
x = 12
x = 6
To solve the equation x - 6 = -18, we can add 6 to both sides of the equation to isolate the variable x.
x - 6 + 6 = -18 + 6
This simplifies to:
x = -12
Therefore, the solution to the equation x - 6 = -18 is x = -12.
Solve. 4x + 3 = 47
(1 point)
Responses
x = 11
x = 11
x = 40
x = 40
x = 44
x = 44
x = 50
To solve the equation 4x + 3 = 47, we can subtract 3 from both sides of the equation to isolate the variable x.
4x + 3 - 3 = 47 - 3
This simplifies to:
4x = 44
Then, we divide both sides of the equation by 4 to solve for x:
4x/4 = 44/4
x = 11
Therefore, the solution to the equation 4x + 3 = 47 is x = 11.
Solve. one-thirdx = 12
(1 point)
Responses
x = 4
x = 4
x = 15
x = 15
x = 36
x = 36
x = 39
x = 39