pemapawanlala pemapawanlala

01-09-2020
Mathematics

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16. The difference of two numbers is 3 and the
difference of their square is 69. Find the
numbers.

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chikafujiwara chikafujiwara

01-09-2020

Make a system of equations.

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

[tex]x^2-y^2=69[/tex]

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

[tex](y^2+6y+9)-y^2=69[/tex]

[tex]6y+9=69[/tex]

[tex]6y=60[/tex]

[tex]y=10[/tex]

[tex]x=10+3[/tex]

[tex]x=13[/tex]

[tex]x=13,y=10[/tex]

Hope this helps.

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