Question

The answer is (5,2) but i need help with the steps in order that make sense.

What is the solution to the system of equations?

{x+y=7
x=y+3




(2,5)

(4,3)

(112,32)

(5,2)

Answer 1

x+y=7

Firstly isolate y :: moving x over with 7 thus y=7-x

Thus you have you answer (7-x) which can be interpreted as x=(7,0) y=(0,7)

With x being negative your slope is -1 one as which x is the representation of 1

x=y+3

subtract 3 from both sides :: resulting in y=x-3

Thus you have you answer (x-3) which can be interpreted as x=(3,0) y=(0,-3)

With x being positive in the situation your slope is positive 1