Question

How do you solve the following system: `4x+3y= -7, y + 4x = 16`?

Answer 1

The solution for the system of equations is:
`color(blue)(x=55/8`

`color(blue)(y=-23/2`

Explanation:

`color(blue)(4x)+3y=-7`..........equation `1`

`color(blue)(4x)+y=16`.................equation `2`

Solving by elimination

Subtracting equation `2` from `1`
`cancelcolor(blue)(4x)+3y=-7`

`-cancelcolor(blue)(4x)-y=-16`

`2y=-23`

`color(blue)(y=-23/2`

Finding `x` from equation `1`

`4x+3y=-7`

`4x+3xx(-23/2)=-7`

`4x-69/2=-7`

`4x=-7 +69/2`

`4x=-14/2 +69/2`

`4x=55/2`

`x=55/(2xx4)`

`color(blue)(x=55/8`