Question

Is the given ordered pair a solution of the system?
(4,10)
9x-y>23
5x+0.2y>20
A. yes
B. no

Answer 1

\[9x-y \ge23\]

Answer 2

\[5x+0.2y \ge20\]

Answer 3

Plug it in and see if it satisfies the inequalities.

(4, 10)

\[9x-y \ge23\]

\[9(4)-10 \ge23\]

Simplify, 9 * 4 = ?

Answer 4

36

Answer 5

Yes, so we have:

\(36 - 10 \ge 23\)

WHat's 36 - 10?

Answer 6

26

Answer 7

Yes, so we have:

\(26 \ge 23\)

This is true, now let's check the other inequality.

\(5x+0.2y\ge20\)

\(5(4)+0.2(10)\ge20\)

Multiply 5 * 4 and 0.2 * 10 then add them

Answer 8

20 and 2 so 22

Answer 9

Correct, so we have:

\(22 \ge 20\)

This is also true, so (4, 10) is a solution to the system of inequalities.

Answer 10

thanks

Answer 11

No problem.