Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which ordered pair is a solution of the equation?

-3x+5y=2x+3y
Choose 1 answer:
(A) Only 
(2,4)
(B) Only 
(3,3)
(c) Both 
(2,4) and 
(3,3)
(D) Neither

Which ordered pair is a solution of the equation?\newline3x+5y=2x+3y-3x+5y=2x+3y\newlineChoose 11 answer:\newline(A) Only \newline(2,4)(2,4)\newline(B) Only \newline(3,3)(3,3)\newline(C) Both \newline(2,4)(2,4) and \newline(3,3)(3,3)\newline(D) Neither

Full solution

Q. Which ordered pair is a solution of the equation?\newline3x+5y=2x+3y-3x+5y=2x+3y\newlineChoose 11 answer:\newline(A) Only \newline(2,4)(2,4)\newline(B) Only \newline(3,3)(3,3)\newline(C) Both \newline(2,4)(2,4) and \newline(3,3)(3,3)\newline(D) Neither
  1. Combine like terms: Combine like terms by moving the xx terms to one side and the yy terms to the other side.\newline3x2x+5y3y=0-3x - 2x + 5y - 3y = 0
  2. Simplify the equation: Simplify the equation by combining like terms. 5x+2y=0-5x + 2y = 0
  3. Test ordered pair 2,42, 4: Now we will test each ordered pair to see if it satisfies the equation (-5\)x + 22y = 00.\newlineFirst, let's test the ordered pair 2,42, 4.\newlineSubstitute x=2x = 2 and y=4y = 4 into the equation.\newline5(2)+2(4)=10+8=2-5(2) + 2(4) = -10 + 8 = -2\newlineSince (-2\)\ does not equal (0\), the ordered pair 2,42, 4 is not a solution.
  4. Test ordered pair (3,3)(3, 3): Next, let's test the ordered pair (3,3)(3, 3).\newlineSubstitute x=3x = 3 and y=3y = 3 into the equation.\newline5(3)+2(3)=15+6=9-5(3) + 2(3) = -15 + 6 = -9\newlineSince 9-9 does not equal 00, the ordered pair (3,3)(3, 3) is not a solution.
  5. No solution found: Since neither (2,4)(2, 4) nor (3,3)(3, 3) satisfy the equation 5x+2y=0-5x + 2y = 0, the correct answer is (D)(D) Neither.

More problems from Does (x, y) satisfy the linear equation?