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Which of the following is a solution to the equation y = 3x – 1?
(1 point)
(4, 1)
(2, 5)
(4, 3)
(0, –3)
The solution to the equation y = 3x - 1 is (2, 5).
Which equation represents the pattern in the table below?
Sal’s and
Carrie’s
Ages
Sal 3 5 8 13 15
Carrie 7 9 12 17 19
(1 point)
s = c + 4
s = 4c
c = s + 4
c = 4
The pattern in the table can be represented by the equation c = s + 4.
Which equation matches the statement: “The sum of –4x and 2 is
9”?
(1 point)
–4x + 2 = 9
–4x + 9 = 2
–4x(2) = 9
–4x – 2 = 9
The equation that matches the statement "The sum of -4x and 2 is 9" is -4x + 2 = 9.
Solve. x – 6 = –18
(1 point)
x = –24
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 x:
x - 6 + 6 = -18 + 6
This simplifies to:
x = -12
Therefore, the solution to the equation is x = -12.
Solve. 4x + 3 = 47
(1 point)
x = 11
x = 40
x = 44
x = 50
To solve the equation 4x + 3 = 47, we can first subtract 3 from both sides of the equation to isolate 4x:
4x + 3 - 3 = 47 - 3
This simplifies to:
4x = 44
Next, we divide both sides of the equation by 4 to solve for x:
4x/4 = 44/4
This simplifies to:
x = 11
Therefore, the solution to the equation is x = 11.
To find the solution to the equation y = 3x - 1, we need to substitute the given values of x and y into the equation and check if the equation holds true.
For option (4, 1):
y = 1, x = 4
Substituting these values into the equation:
1 = (3 * 4) - 1
1 = 12 - 1
1 = 11
Since 1 is not equal to 11, option (4, 1) is not a solution to the equation.
For option (2, 5):
y = 5, x = 2
Substituting these values into the equation:
5 = (3 * 2) - 1
5 = 6 - 1
5 = 5
Since 5 is equal to 5, option (2, 5) is a solution to the equation.
For option (4, 3):
y = 3, x = 4
Substituting these values into the equation:
3 = (3 * 4) - 1
3 = 12 - 1
3 = 11
Since 3 is not equal to 11, option (4, 3) is not a solution to the equation.
For option (0, -3):
y = -3, x = 0
Substituting these values into the equation:
-3 = (3 * 0) - 1
-3 = 0 - 1
-3 = -1
Since -3 is not equal to -1, option (0, -3) is not a solution to the equation.
Therefore, the only solution is option (2, 5).