Question

ind the solution of the linear system graphically and check your solution.

x
+
y
=
−
1
3
x
−
y
=
5


__________________________________________________



(
−
1
,

1
)


image.png




__________________________________________________



(
1
,
−
2
)


image.png




__________________________________________________



(
2
,

1
)


image.png




__________________________________________________



(
0
,
−
1
)


image.png

Answer 1

The solution is (1, −2).

Check: from x + y = −1: 1 + (−2) = −1 ✓
From 3x − y = 5: 3(1) − (−2) = 3 + 2 = 5 ✓

So the lines intersect at (1, −2).