How do you solve x – y = 3 and 2x + 2y = 2?
2 Answers
Explanation:
From the first equation,
Return to the first equation:
Explanation:
x-y=3to(1)x−y=3→(1)
2x+2y=2to(2)2x+2y=2→(2)
"from equation "(1)tox=3+yto(3)from equation (1)→x=3+y→(3)
"substitute "x=3+y" into equation "(2)substitute x=3+y into equation (2)
2(3+y)+2y=22(3+y)+2y=2
6+2y+2y=26+2y+2y=2
"subtract 6 from both sides"subtract 6 from both sides
4y=-4rArry=(-4)/4=-14y=−4⇒y=−44=−1
"substitute "y=-1" into equation "(3)substitute y=−1 into equation (3)
x=3-1=2x=3−1=2
"point of intersection "=(2,-1)point of intersection =(2,−1)
graph{(y-x+3)(y+x-1)=0 [-10, 10, -5, 5]}