Question

X – y = 5
3x – 2y = 12
Please help will give 20 points

Answer 1

`{x,y} = {2,-3}`

Explanation:

`x - y = 5 \\\\[2] 3x - 2y = 12` <----------- Linear equations given

Graphic Representation of the Equations: PICTURE

`y + x = 5 \\-2y + 3x = 12`
Solve by Substitution :

// Solve equation [1] for the variable
`x`

`[1] x = y + 5`

// Plug this in for variable
`x` in equation
`[2]`

`[2] 3*(y +5) - 2y = 12 \\ [2] y = -3`

// Solve equation
`[2]` for the variable
`y`

`[2] y = - 3`

// By now we know this much :

`x = y+5 \\ y = -3`

// Use the y value to solve for
`x`

`x = (-3)+5 = 2`

Solution :

`{x,y} = {2,-3}`