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Find four solutions of the given function. Write the solutions as ordered pairs.


4x – y = 4


Options:


A. {(8, 28), (–6, –28), (1, 0), (–2, –12)}

B. {(8, 28), (–2, –28), (1, 0), (–6, –12)}

C. {(8, 32), (–6, –28), (1, 4), (–2, –12)}

D. {(7, 28), (–6, –28), (1, 32), (8, –12)}

note to self this is question 3

Respuesta :

Ashraf82

The four solutions of the given function are:

{(8 , 28) , (–6 , –28) , (1 , 0) , (–2 , –12)} ⇒ answer A

Step-by-step explanation:

To find the a solution of a linear function

1. Substitute x and y of the function by the coordinates of the solution

2. Calculate the two sides of the function

3. If the value of the left hand side (L.H.S) is equal the value of the

   right hand side (R.H.S), then the ordered pair is a solution of

   the function

∵ 4 x - y = 4

∵ The coordinates of the ordered pair are (8 , 28)

- Substitute x by 8 and y by 28 in the L.H.S

∴ L.H.S = 4(8) - (28) = 32 - 28 = 4

∵ R.H.S = 4

∴ L.H.S = R.H.S

∴ (8 , 28) is a solution of the function

∵ The coordinates of the ordered pair are (-6 , -28)

- Substitute x by -6 and y by -28 in the L.H.S

∴ L.H.S = 4(-6) - (-28) = -24 + 28 = 4

∵ R.H.S = 4

∴ L.H.S = R.H.S

∴ (-6 , -28) is a solution of the function

∵ The coordinates of the ordered pair are (1 , 0)

- Substitute x by 1 and y by 0 in the L.H.S

∴ L.H.S = 4(1) - (0) = 4 - 0 = 4

∵ R.H.S = 4

∴ L.H.S = R.H.S

∴ (1 , 0) is a solution of the function

∵ The coordinates of the ordered pair are (-2 , -12)

- Substitute x by -2 and y by -12 in the L.H.S

∴ L.H.S = 4(-2) - (-12) = -8 + 12 = 4

∵ R.H.S = 4

∴ L.H.S = R.H.S

∴ (-2 , -12) is a solution of the function

The four solutions of the given function are:

{(8 , 28) , (–6 , –28) , (1 , 0) , (–2 , –12)}

Learn more:

You can learn more about the solutions of the linear functions in

brainly.com/question/11306893

#LearnwithBrainly

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