Question

Write the solution to the system of equations as an ordered pair using decimals.

5x + 6y = 30
1.5x − 3y = 12

Answer 1

`(6.75,-0.625)`

Explanation:

we are given the system of equations

`\begin{cases}5x+6y=30\\1.5x-3y=12\end{cases}`

multiplying the second equation by 2 gives us
`3x-6y=24.` then, adding the two equations together gives
`8x=54`.

dividing both sides by 8 gives
`x=6.75`, and substituting back into the original equation to find y:

`5(6.75)+6y=30\implies 6y=30-33.75\implies 6y=-3.75\implies y=-0.625`.

so, finally our ordered pair is
`(6.75,-0.625)`