Question

Chapter = Linnear simulation equation. Please answer it fast whose answer is correct I give it brainlieast answer​

Answer 1

$\huge{\bf{\green{\boxed{\mathtt{Question:-}}}}}$

$\bullet{\mapsto} \: \sf x \: + \: 2y \: = \: 19 \: , \: x \: + \: 3y \: = \: 24.$

$\bullet{\mapsto} \: \sf Find \: x \: and \: y.$

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$\huge {\bf{\blue{\boxed{\mathtt{Solution:-}}}}}$

$\bullet{\leadsto} \: \sf x \: + \: 2y \: = \: 19 \:$ $\longrightarrow \: \boxed{1}$

$\bullet{\leadsto} \: \sf x \: + \: 3y \: = \: 24 \:$ $\longrightarrow \: \boxed{2}$

$\bullet{\leadsto} \: \sf Taking \: \boxed{1} \: ,$

$\bullet{\leadsto} \: \sf x \: + \: 2y \: = \: 19$

$\bullet{\leadsto} \: \sf x \: = \: 19 \: - \: 2y \:$ $\longrightarrow \: \boxed{3}$

$\bullet{\leadsto} \: \sf Substituting \: \boxed{3} \: i.e \: x \: in \: \boxed{2} \: ,$

$\bullet{\leadsto} \: \sf x \: + \: 3y \: = \: 24$

$\bullet{\leadsto} \: \sf 19 \: - \: 2y \: + \: 3y \: = \: 24$

$\bullet{\leadsto} \: \sf 3y \: - \: 2y \: = \: 24 \: - \: 19$

$\bullet{\leadsto} \: {\green{\boxed{\sf y \: = \: 5.}}}$

$\bullet{\leadsto} \: \sf Substituting \: y \: = \: 5 \: in \: \boxed{1} \:,$

$\bullet{\leadsto} \: \sf x \: + \: 2y \: = \: 19$

$\bullet{\leadsto} \: \sf x \: + \: 2 \: * \: 5 \: = \: 19$

$\bullet{\leadsto} \: \sf x \: + \: 10 \: = \: 19$

$\bullet{\leadsto} \: \sf x \: = \: 19 \: - \: 10$

$\bullet{\leadsto} \: {\red{\boxed{\sf x \: = \: 9.}}}$

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$\huge{\bf{\red{\boxed{\mathtt{Conclusion:-}}}}}$

$\Large\bullet{\mapsto} \: {\pink{\boxed{\therefore{\sf x \: = \: 9 \: , \: y \: = \: 5.}}}}$

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$\huge{\bf{\purple{\boxed{\mathtt{Verification:-}}}}}$

$\bullet{\leadsto} \: \sf x \: + \: 2y \: = \: 19 \: [tex]\longrightarrow \: \boxed{1}$

$\bullet{\leadsto} \: \textsf{Substituting x = 9 and y = 5,}$

$\bullet{\leadsto} \: \sf x \: + \: 2y \: = \: 19$

$\bullet{\leadsto} \: \sf 9 \: + \: 2 \: * \: 5 \: = \: 19$

$\bullet{\leadsto} \: \sf 9 \: + \: 10 \: = \: 19$

$\bullet{\leadsto} \: \sf 19 \: = \: 19∙$

$\bullet{\leadsto} \: \sf x \: + \: 3y \: = \: 24 \:$ $\longrightarrow \: \boxed{2}$

$\bullet{\leadsto} \: \textsf{Substituting x = 9 and y = 5,}$

$\bullet{\leadsto} \: \sf x \: + \: 3y \: = \: 24$

$\bullet{\leadsto} \: \sf 9 \: + \: 3 \: * \: 5 \: = \: 24$

$\bullet{\leadsto} \: \sf 9 \: + \: 15 \: = \: 24$

$\bullet{\leadsto} \: \sf 24 \: = \: 24$

$\Large\bullet{\leadsto} \: \textsf{Hence, verified.}$

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$\LARGE{\bf{\orange{\boxed{\mathtt{Extra\:Information:-}}}}}$

⇝ An equation of the form ax + by + c = 0, where a, b, c are real numbers and at least one of a or b is not zero i.e a² + b² ≠ 0, then it is called a linear equation in two variables x and y.

⇝ A linear equation in two variables has infinitely many solutions (Here, only 1 linear equation in 2 variables).