Questions: Determine whether the given ordered pair is a solution to the system of equations. 3x + 7y = 1 2x + 4y = 0 (2,3) No Yes

Determine whether the given ordered pair is a solution to the system of equations. 3x + 7y = 1 2x + 4y = 0 (2,3) No Yes
Transcript text: z: Homework 17: Lesson 4.3 rses/38168/quizzes/208157/take Quiz iIIstiuctions Jue: Sunday 11:59 p.m. CST Overview Directions: Complete this homework assignment for a grade. Question 1 Determine whether the given ordered pair is a solution to the system of equations. \[ \begin{array}{l} \left\{\begin{array}{l} 3 x+7 y=1 \\ 2 x+4 y=0 \end{array}\right. \\ (2,3) \end{array} \] No Yes
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Solution

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Solution Steps

Step 1: Substitute the given ordered pair into the first equation.

Substitute $x=2$ and $y=3$ into the equation $3x+7y=1$.

$3(2) + 7(3) = 6 + 21 = 27$. Since $27 \ne 1$, the ordered pair $(2, 3)$ is not a solution to the first equation.

Step 2: Substitute the given ordered pair into the second equation.

Substitute $x=2$ and $y=3$ into the equation $2x+4y=0$.

$2(2) + 4(3) = 4 + 12 = 16$. Since $16 \ne 0$, the ordered pair $(2, 3)$ is not a solution to the second equation.

Final Answer: The ordered pair (2, 3) is not a solution to the system of equations, so the answer is No.

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