Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

7x-9y < 5

-2x+4y > 5
Is 
(3,5) a solution of the system?
Choose 1 answer:
(A) Yes
(B) 
No

7 x-9 y<5 \newline -2 x+4 y>5 \newlineIs (3,5) (3,5) a solution of the system?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No

Full solution

Q. 7x9y<5 7 x-9 y<5 \newline2x+4y>5 -2 x+4 y>5 \newlineIs (3,5) (3,5) a solution of the system?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No
  1. Check Point 3,53, 5 in Inequality 11: Check if the point 3,53, 5 satisfies the inequality 7x - 9y < 5.\newlineSubstitute x=3x = 3 and y=5y = 5 into the inequality.\newline7(3) - 9(5) < 5\newline21 - 45 < 5\newline-24 < 5\newlineThe point 3,53, 5 satisfies the inequality 7x - 9y < 5.
  2. Check Point (3,5)(3, 5) in Inequality 22: Check if the point (3,5)(3, 5) satisfies the inequality -2x + 4y > 5.\newlineSubstitute x=3x = 3 and y=5y = 5 into the inequality.\newline-2(3) + 4(5) > 5\newline-6 + 20 > 5\newline14 > 5\newlineThe point (3,5)(3, 5) satisfies the inequality -2x + 4y > 5.
  3. Determine Solution to System: Determine if the point (3,5)(3, 5) is a solution to the system of inequalities.\newlineSince the point (3,5)(3, 5) satisfies both inequalities 7x - 9y < 5 and -2x + 4y > 5, it is a solution to the system.

More problems from Is (x, y) a solution to the system of inequalities?