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Question:-
☆Write four solutions the following equation:

 \sf \:  \color{red} (i) \:  \:  2x \: +y = 7

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Answers

Answered by Anonymous
62

Given :

Write four solution for the equation :

(i) 2x + y = 7

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Solution :

{\red{\longrightarrow{\bf{(i) 2x + y = 7}}}}

{\sf{\green{\underline{1st  \: solution :}}}}

{\rightarrow{\sf{Taking \:  value  \: of  \: x = -1.}}}

{\leadsto{\sf{2(-1) + y = 7}}}

{\leadsto{\sf{ - 2 + y = 7}}}

{\leadsto{\sf{ y = 7 + 2}}}

{\leadsto{\sf{ y = 9}}}

Hence,

{\large{\purple{:{\mapsto{\underline{\boxed{\bf{✰(-1,9)  \: is \:  the \:  solution.}}}}}}}}

{\sf{\green{\underline{2nd  \: solution :}}}}

{\rightarrow{\sf{Taking \:  value  \: of  \: x = 0.}}}

{\leadsto{\sf{2(0) + y = 7}}}

{\leadsto{\sf{0 + y = 7}}}

{\leadsto{\sf{ y = 7 - 0}}}

{\leadsto{\sf{ y = 7}}}

Hence,

{\large{\purple{:{\mapsto{\underline{\boxed{\bf{✰(0,7)  \: is  \: the  \: solution.}}}}}}}}

{\sf{\green{\underline{3rd  \: solution :}}}}

{\rightarrow{\sf{Taking \:  value  \: of  \: x = 1.}}}

{\leadsto{\sf{2(1) + y = 7}}}

{\leadsto{\sf{2+ y = 7}}}

{\leadsto{\sf{ y = 7 - 2}}}

{\leadsto{\sf{ y = 5}}}

Hence,

{\large{\purple{:{\mapsto{\underline{\boxed{\bf{✰(1,5)  \: is  \: a \:  solution.}}}}}}}}

{\sf{\green{\underline{4th  \: solution :}}}}

{\rightarrow{\sf{Taking \:  value  \: of  \: x = 2.}}}

{\leadsto{\sf{2(2) + y = 7}}}

{\leadsto{\sf{4 + y = 7}}}

{\leadsto{\sf{ y = 7 - 4}}}

{\leadsto{\sf{ y = 3}}}

Hence,

{\large{\purple{:{\mapsto{\underline{\boxed{\bf{✰(2,3)  \: is  \: a  \: solution.}}}}}}}}

So,

»»»4 Solutions are :

{\orange{\underbrace{\underline{\green{\sf{(-1,9), \: (0,7), \: (1,5) \:  and \:  (2,3).}}}}}}</p><p>

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Answered by dreamachiever2509
6

Answer:

Answer

AnswerGiven equation is:

AnswerGiven equation is:2x+y=7

AnswerGiven equation is:2x+y=7For x = - 1, we get

AnswerGiven equation is:2x+y=7For x = - 1, we get−2+y=7

AnswerGiven equation is:2x+y=7For x = - 1, we get−2+y=7⇒y=9

AnswerGiven equation is:2x+y=7For x = - 1, we get−2+y=7⇒y=9∴ (-1, 9) is a solution.

AnswerGiven equation is:2x+y=7For x = - 1, we get−2+y=7⇒y=9∴ (-1, 9) is a solution.For x = 0, we get

AnswerGiven equation is:2x+y=7For x = - 1, we get−2+y=7⇒y=9∴ (-1, 9) is a solution.For x = 0, we get⇒0+y=7

AnswerGiven equation is:2x+y=7For x = - 1, we get−2+y=7⇒y=9∴ (-1, 9) is a solution.For x = 0, we get⇒0+y=7⇒y=7

AnswerGiven equation is:2x+y=7For x = - 1, we get−2+y=7⇒y=9∴ (-1, 9) is a solution.For x = 0, we get⇒0+y=7⇒y=7∴ (0, 7) is a solution.

AnswerGiven equation is:2x+y=7For x = - 1, we get−2+y=7⇒y=9∴ (-1, 9) is a solution.For x = 0, we get⇒0+y=7⇒y=7∴ (0, 7) is a solution.For x = 1, we get

AnswerGiven equation is:2x+y=7For x = - 1, we get−2+y=7⇒y=9∴ (-1, 9) is a solution.For x = 0, we get⇒0+y=7⇒y=7∴ (0, 7) is a solution.For x = 1, we get⇒2+y=7

AnswerGiven equation is:2x+y=7For x = - 1, we get−2+y=7⇒y=9∴ (-1, 9) is a solution.For x = 0, we get⇒0+y=7⇒y=7∴ (0, 7) is a solution.For x = 1, we get⇒2+y=7⇒y=5

AnswerGiven equation is:2x+y=7For x = - 1, we get−2+y=7⇒y=9∴ (-1, 9) is a solution.For x = 0, we get⇒0+y=7⇒y=7∴ (0, 7) is a solution.For x = 1, we get⇒2+y=7⇒y=5∴ (1, 5) is a solution.

AnswerGiven equation is:2x+y=7For x = - 1, we get−2+y=7⇒y=9∴ (-1, 9) is a solution.For x = 0, we get⇒0+y=7⇒y=7∴ (0, 7) is a solution.For x = 1, we get⇒2+y=7⇒y=5∴ (1, 5) is a solution.For x = 2, we get

AnswerGiven equation is:2x+y=7For x = - 1, we get−2+y=7⇒y=9∴ (-1, 9) is a solution.For x = 0, we get⇒0+y=7⇒y=7∴ (0, 7) is a solution.For x = 1, we get⇒2+y=7⇒y=5∴ (1, 5) is a solution.For x = 2, we get⇒4+y=7

AnswerGiven equation is:2x+y=7For x = - 1, we get−2+y=7⇒y=9∴ (-1, 9) is a solution.For x = 0, we get⇒0+y=7⇒y=7∴ (0, 7) is a solution.For x = 1, we get⇒2+y=7⇒y=5∴ (1, 5) is a solution.For x = 2, we get⇒4+y=7⇒y=3

AnswerGiven equation is:2x+y=7For x = - 1, we get−2+y=7⇒y=9∴ (-1, 9) is a solution.For x = 0, we get⇒0+y=7⇒y=7∴ (0, 7) is a solution.For x = 1, we get⇒2+y=7⇒y=5∴ (1, 5) is a solution.For x = 2, we get⇒4+y=7⇒y=3∴ (2, 3) is a solution.

AnswerGiven equation is:2x+y=7For x = - 1, we get−2+y=7⇒y=9∴ (-1, 9) is a solution.For x = 0, we get⇒0+y=7⇒y=7∴ (0, 7) is a solution.For x = 1, we get⇒2+y=7⇒y=5∴ (1, 5) is a solution.For x = 2, we get⇒4+y=7⇒y=3∴ (2, 3) is a solution.Hence, we have four solution (−1,9),(0,7),(1,5)and(2,3)

Explanation:

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