Question

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

Answer 1

Answer:

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

Step-by-step 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 :

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