Question

Which ordered pairs in the form (x,y) are solutions to the equation4x−5y=24Select each correct answer.(1,−4)(−9,−12)(4,8)(6,0)

Answer 1

• (1, -4)

,

• (-9, -12)

,

• (6, 0)

Step-by-step explanation

To find the pairs (x, y) from these options, that are solutions to the equation, we have to replace x and y with the coordinates of each pair. The ones that give true equality are solutions to the equation.

(1, -4)

`\begin{gathered} 4\cdot1-5\cdot(-4)=24 \\ 4+20=24 \\ 24=24\to\text{true} \end{gathered}`

The pair (1, -4) is a solution,

(-9, -12)

`\begin{gathered} 4\cdot(-9)-5\cdot(-12)=24 \\ -36+60=24 \\ 24=24\to\text{true} \end{gathered}`

The pair (-9, -12) is a solution.

(4, 8)

`\begin{gathered} 4\cdot4-5\cdot8=24 \\ 16-40=24 \\ -24=24\to false \end{gathered}`

The pair (4, 8) is not a solution.

(6, 0)

`\begin{gathered} 4\cdot6-5\cdot0=24 \\ 24-0=24 \\ 24=24\to true \end{gathered}`

The pair (6, 0) is a solution.

In summary,