Question

oliver and sophia both buy pencils and pens for school. let $x$ represent the cost of pencils and $y$ represent the cost of pens. oliver buys 6 pencils and 4 pens, spending $14. sophia buys 8 pencils and 3 pens, spending $14. which system of equations represents the situation? 4x + 6y = 14 3x + 8y = 14; x + 2y = 14 2x + y = 14; 6x + 4y = 14 8x + 3y = 14; 6x + 2y = 14 8x + y = 14

Explanation:

Step1: Set up equations based on purchases

Oliver buys 6 pencils and 4 pens spending $14, so the equation is $6x + 4y=14$. Sophia buys 8 pencils and 3 pens spending $14, so the equation is $8x + 3y = 14$.

Answer:

$6x + 4y=14$, $8x + 3y = 14$ (the third - option from the top)