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Tell whether the ordered pair is a solution if the given system

Tell whether the ordered pair is a solution if the given system-example-1

1 Answer

3 votes

Answer:

Yes , No

Explanation:

to determine if the given point is a solution to the system

substitute the coordinates of the point into the left side of each equation and if equal to the right side then it is a solution.

Note for the point to be a solution of the system BOTH equations must be True

(63)

substitute x = 3 , y = 1 into the left sides and compare with right side

x + 3y = 3 + 3(1) = 3 + 3 = 6 ← True

4x - 5y = 4(3) - 5(1) = 12 - 5 = 7 ← True

both equations are True , then (3, 1 ) is a solution

(64)

substitute x = 6 , y = - 2 into the the left sides and compare with right side

3x - 2y = 3(6) - 2(- 2) = 18 + 4 = 22 ≠ 14 ← False

5x - y = 5(6) - (- 2) = 30 + 2 = 32 ← True

since Both equations are not true then (6, - 2 ) is not a solution

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