Question

Solve the system of inequalities by graphing 3x-y>-1
2x+y>5

Answer 1

3x - y > -1
3x - 3x - y > -1 - 3x
-y > -1 - 3x
y > 1 + 3x

2x + y > 5
2x - 2x + y > 5 - 2x
y > 5 - 2x

1 + 3x > 5 - 2x
+ 2x + 2x
1 + 5x > 5
- 1 - 1
5x > 4
5 5
x > 0.8
1 + 3(0.8) > 5 - 2(0.8)
3(0.8) - y > -1
2.4 - y > -1
- 2.4 - 2.4
-y > -3.4
y > 3.4
(x, y) > (0.8, 3.4)