Question

Solve using substitution. 6x + y = 5 -8x - 5y = 19 how do I do this

Answer 1

The given system of equations is

`\begin{gathered} 6x+y=5 \\ -8x-5y=19 \end{gathered}`

To solve the system, first, let's multiply the first equation by 5.

`\begin{gathered} 30x+5y=25 \\ -8x-5y=19 \end{gathered}`

Then, we combine the equations

`\begin{gathered} 30x-8x+5y-5y=25+19 \\ 22x=44 \\ x=(44)/(22) \\ x=2 \end{gathered}`

Now, we find y

`\begin{gathered} 6x+y=5 \\ 6\cdot2+y=5 \\ 8+y=5 \\ y=5-8 \\ y=-3 \end{gathered}`

Hence, the solution is (2,-3).