6x - 5y < 11

-3x + 2y < -8
is (5, 4) a solution of the system of inequalities shown ahon?

Yes

Step-by-step explanation:

To determine if (5, 4) is a solution, substitute the x and y values into the left side of the inequalities and compare the result to the right side.

6(5) - 5(4) = 30 - 20 = 10 < 11 ← True

- 3(5) + 2(4) = - 15 + 8 = - 7 < - 8 ← True

Since both inequalities are true then (5, 4) is a solution to the system

1.Same-Side Interior Angles Theorem

2.Transitive property

Step-by-step explanation:

We are given that

GJ is  a transversal line cut AB at K and intersect EF at L.

We have to fill the missing justification in given proof of

Statement:

Reason: Given

Statement:

Reason: Given

Statement:

Reason:Same-Side Interior Angles Theorem

Statement:

Reason: Linear pair

Statement:

Reason:Transitive property

Statement:

Reason:Subtraction property

Statement:

Reason: Symmetric property

Statement:

Reason: Substitution property