x+y>5 , 2x-y<4

Subtract y from both sides of the inequality.

x>5-y and 2x-y<4

Add y to both sides of the inequality.

x>5-y and 2x<4+y

Divide each term by 2 and simplify.

Divide each term in 2x<4+y by 2.

x>5-y and 2×2<42+y2

Cancel the common factor of 2.

Cancel the common factor.

x>5-y and 2×2<42+y2

Divide x by 1.

x>5-y and x<42+y2

x>5-y and x<42+y2

Divide 4 by 2.

x>5-y and x<2+y2

x>5-y and x<2+y2

x>5-y and x<2+y2

5and+2x-y

Find the Intersection (and) x+y>5 , 2x-y<4