princessally2007
princessally2007 princessally2007
  • 26-02-2021
  • Mathematics
contestada

Is (3,1) a solution to this system of equations? 7x+16y=3 x+11y=14

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AnimalPost
AnimalPost AnimalPost
  • 26-02-2021

Answer:

No.

Step-by-step explanation:

To check if (3, 1) is a solution to the equations 7x + 16y = 3 and x + 11y = 14, we can just substitute the x-value (3) for x and the y-value (1) for y.

7x + 16y = 3

7(3) + 16(1) = 3

21 + 16 = 3

37 ≠ 3

So we know that (3, 1) is not a solution.

We can also check x + 11y = 14

(3) + 11(1) = 14

14 = 14

This time, it is a solution, but only for this equation. As such, we know that (3, 1) is not a solution because it is not true for the entire system of equations.

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