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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.

Respuesta :

MrRoyal

Answer:

[tex]x = 4[/tex] -- Marcus

[tex]y = 11[/tex] -- Raquel

Step-by-step explanation:

Given

[tex]x =Marcus[/tex]

[tex]y = Raquel[/tex]

[tex]x + y = 15[/tex] -- Both

[tex]y = 2x + 3[/tex] -- Raquel

Required

Determine x and y

Substitute 2x + 3 for y in [tex]x + y = 15[/tex]

[tex]x + 2x + 3 = 15[/tex]

[tex]3x + 3 = 15[/tex]

Collect Like Terms

[tex]3x = 15-3[/tex]

[tex]3x = 12[/tex]

Divide both sides by 3

[tex]x = 4[/tex]

Substitute 4 for x in

[tex]y = 2x + 3[/tex]

[tex]y = 2 * 4 + 3[/tex]

[tex]y = 8 + 3[/tex]

[tex]y = 11[/tex]

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