Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

y=-8x-3

x+y=7
Is 
(3,4) a solution of the system?
Choose 1 answer:
(A) Yes
(B) No

y=8x3 y=-8 x-3 \newlinex+y=7 x+y=7 \newlineIs (3,4) (3,4) a solution of the system?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No

Full solution

Q. y=8x3 y=-8 x-3 \newlinex+y=7 x+y=7 \newlineIs (3,4) (3,4) a solution of the system?\newlineChoose 11 answer:\newline(A) Yes\newline(B) No
  1. Substitute and Check: First, we will substitute the point (3,4)(3,4) into the first equation and check if it holds true. The first equation is y=8x3y = -8x - 3. If we substitute x=3x=3 and y=4y=4, we get 4=8×334 = -8\times3 - 3.
  2. Calculation Result: After performing the calculation, we find that 4=2434 = -24 - 3, which simplifies to 4=274 = -27. This is not true. Therefore, the point (3,4)(3,4) does not satisfy the first equation.
  3. Point (3,4)(3,4) Evaluation: Since the point (3,4)(3,4) does not satisfy the first equation, there is no need to check the second equation. The point (3,4)(3,4) cannot be a solution to the system if it does not satisfy both equations.

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