Question

What is the solution set of the system {2x - 3y =19 and 7x +4y = -6?

Answer 1

{ 2x-3y=19
{ 7x+4y=-6

{ 2x=19+3y
{ 7x=-6-4y

{ x=19/2+3/2y
{ x=-6/7-4/7y

19/2+3/2y=-6/7-4/7y
y=-5

x=-6/7-4/7(-5)
x=2

(x,y) = (2,-5)

Solution Check
{ 2 · 2-3(-5)=19
{ 7 · 2+4(-5)=-6

{ 19=19
{ -6=-6