Which of the following is a solution to 3x+4y=38?

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Question

Which of the following is a solution to

3 x + 4 y = 38 ?

Options:

A . (3, 4)

B . (6, 5)

C . (2, 19)

D . (3, 12)

Answer: Option B
:
B
The solutionof a linear equation satisfiesthe equation.

3 \times 3 + 4 \times 4 = 9 + 16 = 25 \neq 38 \to

(3, 4) does not satisfy the equation.

3 \times 6 + 4 \times 5 = 18 + 20 = 38 \to

(6, 5) satisfiesthe equation.

3 \times 2 + 4 \times 19 = 6 + 76 = 82 \neq 38 \to

(2, 19) does not satisfy the equation.

3 \times 3 + 4 \times 12 = 9 + 48 = 57 \neq 38 \to

(3, 12) does not satisfy the equation.

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