Question

inténtelo otra vez
su respuesta es incorrecta.
determinar si cada par ordenado es una solución de 3x+7y=17.

(x, y)	¿es una solución?
(5, 3)	sí (selected)	no
(-6, 5)	sí	no (selected)
(8, -1)	sí	no (selected)

Explanation:

To determine if an ordered pair \((x, y)\) is a solution to the equation \(3x + 7y = 17\), we substitute the values of \(x\) and \(y\) into the equation and check if the left - hand side (LHS) equals the right - hand side (RHS, which is 17).

Step 1: Check the pair \((-8, -2)\)

Substitute \(x=-8\) and \(y = - 2\) into the equation \(3x+7y\):

$$
LATEXBLOCK0
$$

Since \(-38
eq17\), \((-8, -2)\) is not a solution.

Step 2: Check the pair \((5, 3)\)

Substitute \(x = 5\) and \(y=3\) into the equation \(3x + 7y\):

$$
LATEXBLOCK1
$$

Since \(36
eq17\), \((5, 3)\) is not a solution.

Step 3: Check the pair \((-6, 5)\)

Substitute \(x=-6\) and \(y = 5\) into the equation \(3x+7y\):

$$
LATEXBLOCK2
$$

Since \(17 = 17\), \((-6, 5)\) is a solution.

Step 4: Check the pair \((8, -1)\)

Substitute \(x = 8\) and \(y=-1\) into the equation \(3x+7y\):

$$
LATEXBLOCK3
$$

Since \(17 = 17\), \((8, -1)\) is a solution.

Answer:

• For \((-8, -2)\): No
• For \((5, 3)\): No
• For \((-6, 5)\): Yes
• For \((8, -1)\): Yes