Which ordered pair is a solution of the equation y = 3x?
(1 point)
Responses
(–2, –9)
(–2, –9)
(–8, –18)
(–8, –18)
(–8, –3)
(–8, –3)
(–10, –30)
(–10, –30)
25 answers
None of the given ordered pairs is a solution of the equation y = 3x.
Which ordered pair is a solution of the equation y = –7x + 2?
(1 point)
Responses
(1, 2)
(1, 2)
(8, –54)
(8, –54)
(5, –35)
(5, –35)
(1, –7)
(1 point)
Responses
(1, 2)
(1, 2)
(8, –54)
(8, –54)
(5, –35)
(5, –35)
(1, –7)
The ordered pair (1, -7) is a solution of the equation y = -7x + 2.
–4 = g + 1
To solve the equation -4 = g + 1, we can isolate the variable g by subtracting 1 from both sides:
-4 - 1 = g + 1 - 1
-5 = g
Therefore, g = -5.
-4 - 1 = g + 1 - 1
-5 = g
Therefore, g = -5.
w – 2 = –3
To solve the equation w - 2 = -3, we can isolate the variable w by adding 2 to both sides:
w - 2 + 2 = -3 + 2
w = -1
Therefore, w = -1.
w - 2 + 2 = -3 + 2
w = -1
Therefore, w = -1.
6.4 = 4x
To solve the equation 6.4 = 4x, we need to isolate the variable x. We can do this by dividing both sides of the equation by 4:
6.4/4 = 4x/4
1.6 = x
Therefore, x = 1.6.
6.4/4 = 4x/4
1.6 = x
Therefore, x = 1.6.
-8=z/3
To solve the equation -8 = z/3, we can isolate the variable z by multiplying both sides of the equation by 3:
-8 * 3 = z/3 * 3
-24 = z
Therefore, z = -24.
-8 * 3 = z/3 * 3
-24 = z
Therefore, z = -24.
-9=5/17n
To solve the equation -9 = 5/17n, we can isolate the variable n by multiplying both sides of the equation by 17/5:
(-9)(17/5) = (5/17n)(17/5)
-153/5 = n
Therefore, n = -153/5 or -30.6.
(-9)(17/5) = (5/17n)(17/5)
-153/5 = n
Therefore, n = -153/5 or -30.6.
Which equation is an identity?
(1 point)
Responses
11 – (2v + 3) = –2v – 8
11 – (2 v + 3) = –2 v – 8
5w + 8 – w = 6w – 2(w – 4)
5 w + 8 – w = 6 w – 2( w – 4)
7m – 2 = 8m + 4 – m
7 m – 2 = 8 m + 4 – m
8y + 9 = 8y – 3
(1 point)
Responses
11 – (2v + 3) = –2v – 8
11 – (2 v + 3) = –2 v – 8
5w + 8 – w = 6w – 2(w – 4)
5 w + 8 – w = 6 w – 2( w – 4)
7m – 2 = 8m + 4 – m
7 m – 2 = 8 m + 4 – m
8y + 9 = 8y – 3
The equation 8y + 9 = 8y - 3 is an identity.
7m – 2 = 8m + 4 – m
The equation 7m - 2 = 8m + 4 - m is not an identity, as it can be simplified further.
Let's solve the equation:
7m - 2 = 8m + 4 - m
Combine like terms:
7m - 2 = 7m + 4
Subtract 7m from both sides:
-2 = 4
This is a contradiction, as -2 cannot equal 4. Therefore, the equation is not an identity.
Let's solve the equation:
7m - 2 = 8m + 4 - m
Combine like terms:
7m - 2 = 7m + 4
Subtract 7m from both sides:
-2 = 4
This is a contradiction, as -2 cannot equal 4. Therefore, the equation is not an identity.
5v + 3 = 5v – 5
The equation 5v + 3 = 5v - 5 is an identity.
2x – 4 = 2x + 7 – x
The equation 2x - 4 = 2x + 7 - x is not an identity, as it can be simplified further.
Let's solve the equation:
2x - 4 = 2x + 7 - x
Combine like terms:
2x - 4 = x + 7
Subtract x from both sides:
x - 4 = 7
Add 4 to both sides:
x = 11
Therefore, the equation has a specific solution x = 11, and it is not an identity.
Let's solve the equation:
2x - 4 = 2x + 7 - x
Combine like terms:
2x - 4 = x + 7
Subtract x from both sides:
x - 4 = 7
Add 4 to both sides:
x = 11
Therefore, the equation has a specific solution x = 11, and it is not an identity.
3(x – 7) – x = 2x – 21
The equation 3(x - 7) - x = 2x - 21 is an identity.
4 + 2y = 9 + 2y
The equation 4 + 2y = 9 + 2y is an identity.