Question

Raquel and her brother Marcus are huge sports fans. Combined they own 15 sports jerseys. Raquel owns double the amount of Marcus's jerseys plus an additional three. Use x to represent Marcus's amount of jerseys and y to represent Raquel's amount of jerseys.

Answer 1

Answer:

$x = 4$ -- Marcus

$y = 11$ -- Raquel

Step-by-step explanation:

Given

$x =Marcus$

$y = Raquel$

$x + y = 15$ -- Both

$y = 2x + 3$ -- Raquel

Required

Determine x and y

Substitute 2x + 3 for y in $x + y = 15$

$x + 2x + 3 = 15$

$3x + 3 = 15$

Collect Like Terms

$3x = 15-3$

$3x = 12$

Divide both sides by 3

$x = 4$

Substitute 4 for x in

$y = 2x + 3$

$y = 2 * 4 + 3$

$y = 8 + 3$

$y = 11$