7x+12y=220 the number of solution is
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Hello user !
Refer to the attachment !
Number of solutions is three !
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Refer to the attachment !
Number of solutions is three !
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kathir2004:
thanks u
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Hola Mate!!
Your answer :-
↪ You can find many solutions!
![equation ↪ 7x + 12y = 220 \\lets \: bring \: a \: change... \\ ↪ 7x = 220 - 12y \\ \\ solutions.... \\ \\ a) \: let \: x = 0 \\ ↪ 7(0) = 220 - 12y \\ ↪ 0 = 220 - 12y \\ ↪ - 220 = - 12y \\ ↪ \frac{ - 220}{ - 12} = y \\ ↪ \frac{ 55}{ 3} = y \\ \\ b) \: let \: x = 2 \\ ↪ 7(2) = 220 - 2y \\ ↪ 14 =220 - 12y \\ ↪ 14 - 220 = - 12y \\ ↪ - 206 = - 12y \\ ↪ \frac{ - 206}{ - 12} = y \\ ↪ \frac{ 103}{ 6} = y \\ \\ c) \: let \: x = 4 \\ ↪ 7(4) = 220 - 12y \\ ↪ 28 = 220 - 12y \\ ↪ 28 - 220 = - 12y \\ ↪ - 192 = - 12y \\ ↪ \frac{ - 192}{ - 12} = y \\ ↪ 16 = y \\ \\ d) \: let \: x = 6 \\ ↪ 7(6) = 220 - 12y \\ ↪ 42 = 220 - 12y \\ ↪ 42 - 220 = - 12y \\ ↪ - 178 = - 12y \\ ↪ \frac{ - 178}{ - 12} = y \\ ↪ \frac{ 89}{ 6} = y equation ↪ 7x + 12y = 220 \\lets \: bring \: a \: change... \\ ↪ 7x = 220 - 12y \\ \\ solutions.... \\ \\ a) \: let \: x = 0 \\ ↪ 7(0) = 220 - 12y \\ ↪ 0 = 220 - 12y \\ ↪ - 220 = - 12y \\ ↪ \frac{ - 220}{ - 12} = y \\ ↪ \frac{ 55}{ 3} = y \\ \\ b) \: let \: x = 2 \\ ↪ 7(2) = 220 - 2y \\ ↪ 14 =220 - 12y \\ ↪ 14 - 220 = - 12y \\ ↪ - 206 = - 12y \\ ↪ \frac{ - 206}{ - 12} = y \\ ↪ \frac{ 103}{ 6} = y \\ \\ c) \: let \: x = 4 \\ ↪ 7(4) = 220 - 12y \\ ↪ 28 = 220 - 12y \\ ↪ 28 - 220 = - 12y \\ ↪ - 192 = - 12y \\ ↪ \frac{ - 192}{ - 12} = y \\ ↪ 16 = y \\ \\ d) \: let \: x = 6 \\ ↪ 7(6) = 220 - 12y \\ ↪ 42 = 220 - 12y \\ ↪ 42 - 220 = - 12y \\ ↪ - 178 = - 12y \\ ↪ \frac{ - 178}{ - 12} = y \\ ↪ \frac{ 89}{ 6} = y](https://tex.z-dn.net/?f=equation+%E2%86%AA+7x+%2B+12y+%3D+220+%5C%5Clets+%5C%3A+bring+%5C%3A+a+%5C%3A+change...+%5C%5C+%E2%86%AA+7x+%3D+220+-+12y+%5C%5C+%5C%5C+solutions....+%5C%5C+%5C%5C+a%29+%5C%3A+let+%5C%3A+x+%3D+0+%5C%5C+%E2%86%AA+7%280%29+%3D+220+-+12y+%5C%5C+%E2%86%AA+0+%3D+220+-+12y+%5C%5C+%E2%86%AA+-+220+%3D+-+12y+%5C%5C+%E2%86%AA+%5Cfrac%7B+-+220%7D%7B+-+12%7D+%3D+y+%5C%5C+%E2%86%AA++%5Cfrac%7B+55%7D%7B+3%7D+%3D+y+%5C%5C+%5C%5C+b%29+%5C%3A+let+%5C%3A+x+%3D+2+%5C%5C+%E2%86%AA+7%282%29+%3D+220+-+2y+%5C%5C+%E2%86%AA+14+%3D220+-+12y+%5C%5C+%E2%86%AA+14+-+220+%3D+-+12y+%5C%5C+%E2%86%AA+-+206+%3D+-+12y+%5C%5C+%E2%86%AA+%5Cfrac%7B+-+206%7D%7B+-+12%7D+%3D+y+%5C%5C+%E2%86%AA+%5Cfrac%7B+103%7D%7B+6%7D++%3D+y+%5C%5C+%5C%5C+c%29+%5C%3A+let+%5C%3A+x+%3D+4+%5C%5C+%E2%86%AA+7%284%29+%3D+220+-+12y+%5C%5C+%E2%86%AA+28+%3D+220+-+12y+%5C%5C+%E2%86%AA+28+-+220+%3D+-+12y+%5C%5C+%E2%86%AA+-+192+%3D+-+12y+%5C%5C+%E2%86%AA+%5Cfrac%7B+-+192%7D%7B+-+12%7D+%3D+y+%5C%5C+%E2%86%AA+16+%3D+y+%5C%5C+%5C%5C+d%29+%5C%3A+let+%5C%3A+x+%3D+6+%5C%5C+%E2%86%AA+7%286%29+%3D+220+-+12y+%5C%5C+%E2%86%AA+42+%3D+220+-+12y+%5C%5C+%E2%86%AA+42+-+220+%3D+-+12y+%5C%5C+%E2%86%AA+-+178+%3D+-+12y+%5C%5C+%E2%86%AA+%5Cfrac%7B+-+178%7D%7B+-+12%7D+%3D+y+%5C%5C+%E2%86%AA+%5Cfrac%7B+89%7D%7B+6%7D++%3D+y)
Hope it helps!!
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Your answer :-
↪ You can find many solutions!
Hope it helps!!
☆ Brainly Star ☆
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