Write the word or phrase that best completes each statement or answers the question.
-5x - 2y = -1 x + 4y = 35
A) (3, 8)
B) (2, 9)
C) (3, 9)
D) (2, 8)

Question

Quizplus · Accepted Answer

To solve the system of equations, we can use either substitution or elimination. Here, elimination seems straightforward. Multiply the second equation by 5 to align the x coefficients:1) $5x - 2y = -1$2) $5(x + 4y) = 5(35)$This gives us:1) $5x - 2y = -1$2) $5x + 20y = 175$Subtracting the first equation from the second eliminates x, allowing us to solve for y. However, it seems there was a mistake in my calculation process, as directly solving the given system through substitution or elimination is more accurate:Using substitution, solve the second equation for x:$x = 35 - 4y$Substitute $x = 35 - 4y$ into the first equation:$5(35 - 4y) - 2y = -1$$175 - 20y - 2y = -1$$175 - 22y = -1$$-22y = -176$$y = 8$Substitute $y = 8$ into $x = 35 - 4y$:$x = 35 - 4(8)$$x = 35 - 32$$x = 3$Therefore, the solution is $x = 3$, $y = 8$, which corresponds to choice A) (3, 8).

Write the Word or Phrase That Best Completes Each Statement