Question

Solve 2x +5y =-24 2x+ y =-8

Answer 1

`{x,y} = {-2,-4}`

Explanation:

`2x + 5y = -24 \\ 2x + y = -8` <---------- Linear equations given

Graphic Representation of the Equations : PICTURE

`5y + 2x = -24 \\ y + 2x = -8`

Solve by Substitution :

// Solve equation [2] for the variable y

`[2] y = -2x - 8`

// Plug this in for variable y in equation [1]

`[1] 2x + 5*(-2x-8) = -24\\ [1] -8x = 16`

/ Solve equation [1] for the variable x

`[1] 8x = - 16 [1] x = - 2`

// By now we know this much :

`x = -2 \\ y = -2x-8`

// Use the x value to solve for y

`y = -2(-2)-8 = -4`

Solution :

`{x,y} = {-2,-4}`

Answer 2

`x=-2, y=-4`

Explanation:

`\left[\begin{array}{ccc}2 * (-24 - 5y)/(2)+ y= -8\end{array}\right]`

`\left[\begin{array}{ccc}-24-4y=-8\end{array}\right]`

`x=(-24-5(-4))/(2)`

`x=-2, y=-4`