Question

check weather X=2, y =1 is a solution of the following equation or not
1. 2x- 3y=1
2.5x-3y+7=0
3.3x+5y-11=0. ​

Answer 1

${\underline{\huge{\mathbf{\color{maroon}{♡heya\:dost♡}}}}}$

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Question :-

check weather X=2, y =1 is a solution of the following equation or not

1. 2x- 3y=1

2.5x-3y+7=0

3.3x+5y-11=0.

Step by step solution :-

• putting value of x and y in each equation

1 . 2x - 3y = 1

x = 2

y = 1

2 * 2 -3 * 1 = 1

4 - 3 = 1

1 = 1

.......verified

2. 5x - 3y +7 = 0

x=2

y=1

5*2-3*1-7=0

10 - 3 - 7 = 0

10 - 10 = 0

0 = 0

......verified

3. 3x + 5y -11 = 0

x = 2

y = 1

3 * 2 + 5 * 1 -11 = 0

6 + 5 -11 = 0

11-11 = 0

0 = 0

.......verified

____________________❤

${\underline{\huge{\mathbf{\color{pink}{♡thank\:you♡}}}}}$

Answer 2

${\huge{\bf{\red{\underline{Solution:}}}}}$

${\bf{\blue{\underline{Given:}}}}$

$\star \: {\sf{\green{ x = 2}}} \\ \star \: {\sf{\green{ y = 1}}}</p><p>$

${\sf{\underline{\blue{Now,}}}}$

$(1)\star \: {\sf{\purple{ 2x - 3y = 1}}} \\ \\ {\tt{ put \: x = 2 \: and \: y = 1}} \\ \\ {\tt{ \implies \: 2(2) - 3(1) = 1}} \\ \\ {\tt{ \implies \: 4 - 3 = 1}} \\ \\ {\tt{ \implies \: 1 = 1}}$

${\sf{\underline{\orange{hence \: x \: and\: y \: is\: a \: solution \: of\:given\:eq}}}}$

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$(2)\star \: {\sf{\purple{ 5x - 3y + 7 = 0}}} \\ \\ {\tt{ put \: x = 2 \: and \: y = 1}} \\ \\ {\tt{ \implies \: 5(2) - 3(1) + 7}} \\ \\ {\tt{ \implies \: 10 - 3 + 7 = 0}} \\ \\ {\tt{ \implies \: 7 + 7 \neq 0}}$

${\sf{\underline{\orange{hence \: x \: and\: y \: is\: not\: a \: solution \: of\:given\:eq}}}}$

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$(3)\star \: {\sf{\purple{ 3x + 5y -11 = 0}}} \\ \\ {\tt{ put \: x = 2 \: and \: y = 1}} \\ \\ {\tt{ \implies \: 3(2) + 5(1) -11=0}} \\ \\ {\tt{ \implies \: 6+5-11= 0}} \\ \\ {\tt{ \implies \: 11 =11}}$

${\sf{\underline{\orange{hence \: x \: and\: y \: is\: a \: solution \: of\:given\:eq}}}}$