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