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Can someone help me? Plzzzzz :c I need it for tmw
I'll be soo happy if someone help me

Mike purchased 3 DVD's and 14 video games for $203. Nick went to the same store and brought 11 DVD's and 11 video games for $220. How much is each video game and each DVD?

Can someone help me Plzzzzz c I need it for tmw Ill be soo happy if someone help me Mike purchased 3 DVDs and 14 video games for 203 Nick went to the same store class=

Respuesta :

luana
[tex]x-cost\ of\ DVD\\y-cost\ of\ video\ game\\\\ \left \{ {{3x+14y=203\ \ \ } \atop {11x+11y=220\ \ } \right. \\\\ From\ first\ second:\\11x=220-11y\ \ \ \ |:11\\x=20-y\\\\Substitute\ to\ first:\\3(20-y)+14y=203\\60-3y+14y=203\\-3y+14y=203-60\\11y=143\ \ \ \ |:11\\y=13\\\\x=20-13=7\\\\ \left \{ {{y=13} \atop {x=7}} \right. [/tex]
chasenissen
3D+14G=203(11)    use elimination      33D+154G=2233
11D+11G=220(-14)   to cancel G   -154D-154G=-3080
                                      
                                     -121D=-847   divide by -121 on both sides
                                         D=7     plug back into equation
11(7)+11G=220
77+11G=220   subtract 77 from both sides
11G=143 divide by 11 on both sides
G=13

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