Question

1. x-y≤ 2
x + 2y ≥ 1

Answer 1

X ≤ 5/3

y ≥ -1/3

Explanation:

in the first inequality

x-y≤ 2

X ≤ 2+y equation 1

for the second inequality

x + 2y ≥ 1

X ≥ 1-2y. .... equation 2

we now need to substitute the value of x in equation 1 in equation 2

2+y ≥ 1 -2y

1 ≥ -3y

-1/3 ≤ y

y ≥ -1/3

but X ≤ 2+y

X ≤ 2+-1/3

X ≤ 5/3

Answer 2

x≤2+y

replace the x with 2+y in the next equation

2+y +2y≥1

solve the equation simultaneously:

2+3y≥1

3y≥1-2

3y≥-1

y≥-1/3

Since you found y, replace it in the first equation to find the value of x

x-(-1/3)≤2

x+1/3≤2

x≤2-1/3

x≤5/3