Question

QuestionWhich ordered pairs are solutions to the equation 5x + 15y = 12? Select all that apply.

Answer 1

Hello! To find the answer, we have to try each alternative and check if it's equal to 12 or not. Let's start it:

A.

`\begin{gathered} 5x+15y=12 \\ 5\cdot6+15\cdot3=12 \\ 30+45=12 \\ 75=12 \\ \text{FALSE} \end{gathered}`

B.

`\begin{gathered} 5x+15y=12 \\ 5\cdot(-5)+15y=12 \\ -25+15y=12 \\ 15y=12+25 \\ y=(37)/(15) \\ \text{TRUE} \end{gathered}`

C.

`\begin{gathered} 5x+15y=12 \\ 5\cdot(-7)+15y=12 \\ -35+15y=12 \\ 15y=12+35 \\ y=(47)/(15) \\ \text{TRUE} \end{gathered}`

D.

`\begin{gathered} 5x+15y=12 \\ 5\cdot5+15y=12 \\ 25+15y=12 \\ 15y=12-25 \\ y=-(13)/(15) \\ \text{FALSE} \end{gathered}`