Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Is (1, 10)(1,\ 10) a solution to this system of inequalities?\newlineyx+9y \leq x + 9\newliney8x+2y \leq 8x + 2\newlineChoices:\newline(A)yes\newline(B)no

Full solution

Q. Is (1, 10)(1,\ 10) a solution to this system of inequalities?\newlineyx+9y \leq x + 9\newliney8x+2y \leq 8x + 2\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Point (1,10)(1, 10): Does the point (1,10)(1, 10) satisfy the inequality yx+9y \leq x + 9?\newlineSubstitute x=1x = 1 and y=10y = 10 into the inequality yx+9y \leq x + 9.\newline101+910 \leq 1 + 9\newline101010 \leq 10\newlineThe point (1,10)(1, 10) satisfies the inequality yx+9y \leq x + 9.
  2. Verify Inequality: Does the point (1,10)(1, 10) satisfy the inequality y8x+2y \leq 8x + 2?\newlineSubstitute x=1x = 1 and y=10y = 10 into the inequality y8x+2y \leq 8x + 2.\newline108×1+210 \leq 8 \times 1 + 2\newline108+210 \leq 8 + 2\newline101010 \leq 10\newlineThe point (1,10)(1, 10) satisfies the inequality y8x+2y \leq 8x + 2.
  3. Solution to System: Is (1,10)(1, 10) a solution to the system of inequalities?\newlineSince the point (1,10)(1, 10) satisfies both inequalities yx+9y \leq x + 9 and y8x+2y \leq 8x + 2, it is a solution to the system of inequalities.

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