Question

Solve the following system of linear equations using elimination. 3x+y=10 4x-y=4

Answer 1

We have

`\begin{gathered} 3x+y=10 \\ 4x-y=4​ \end{gathered}`

we will use the elimination method to sum the first equation with the second equation

`\begin{gathered} 3x+4x+y-y=10+4 \\ 7x=14 \end{gathered}`

then we can isolate the x

`\begin{gathered} x=(14)/(7) \\ x=2 \end{gathered}`

then we substitute the value of x in the first equation in order to find y

`3(2)+y=10`

we isolate the y

`\begin{gathered} y=10-6 \\ y=4 \end{gathered}`

the solution is x=2, y=4