How many solutions does the following set of equations have?

2 ⤊

x + y = 4
-x + y = 2

A) one B) None C) Infinite

2007-01-20 04:30:09 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

You have 2 equations and 2 unknowns. There will be one correct answer.
y = 4-x; -x+4-x = 2; 2 = 2x; ==> x=1, y =3

2007-01-20 04:44:07 · answer #1 · answered by KingGeorge 5 · 1⤊ 0⤋

Summming both you get 2y=6 y=3 x=1 the only solution A

2007-01-20 12:34:15 · answer #2 · answered by santmann2002 7 · 1⤊ 0⤋

x+y=4
-x+y=2
======
2y=6
y=3

x+3=4
x=1

The solution set is (1,3)

Check:
1+3=4
4=4

-1+3=2
2=2

I hope this helps!

2007-01-20 12:44:24 · answer #3 · answered by Anonymous · 0⤊ 0⤋

y=6 one answer

2007-01-20 12:33:28 · answer #4 · answered by BENNETH[[98]] 2 · 0⤊ 2⤋