Question

selected response: 1 point for answer
$4x + 2y = 6$
$-3x + 2y = 13$
what is the most efficient method to solve the system above?

• solve the top equation for x and use substitution.
• solve the bottom equation for y and use substitution.
• add the equations in their current form to eliminate the x terms.
• subtract the equations in their current form to eliminate the y terms.

Explanation:

Step1: Analyze coefficient of $y$

Both equations have $2y$ as the $y$-term.

Step2: Evaluate elimination efficiency

Subtracting the equations:
$$(4x + 2y) - (-3x + 2y) = 6 - 13$$
This directly eliminates $y$, requiring fewer steps than substitution.

Step3: Rule out other options

Substitution requires isolating a variable first, which adds steps. Adding equations does not eliminate $x$ or $y$.

Answer:

Subtract the equations in their current form to eliminate the $y$ terms.