Math, asked by neetuart33, 3 months ago

If x + y = 16 and x – y = 6, then find the value of x. plz answer fast plz right answer dena no spam​

Answers

Answered by kailashmannem
105

 \huge{\bf{\green{\mathfrak{Question:-}}}}

 \bullet{\leadsto} If x + y = 16 and x – y = 6, then find the value of x.

 \huge {\bf{\orange{\mathfrak{Answer:-}}}}

 \bullet{\leadsto} \: \sf x \: - \: y \: = \: 6 \: \longrightarrow \: \boxed{1}

 \bullet{\leadsto} \: \sf x \: + \: y \: = \: 16 \: \longrightarrow \: \boxed{2}

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

 \bullet{\leadsto} \: \sf x \: - \: y \: = \: 6

 \bullet{\leadsto} \: \sf x \: = \: 6 \: + \: y \: \longrightarrow \: \boxed{3}

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

 \bullet{\leadsto} \: \sf x \: + \: y \: = \: 16

 \bullet{\leadsto} \: \sf 6 \: + \: y \: + \: y \: = \: 16

 \bullet{\leadsto} \: \sf 6 \: + \: 2y \: = \: 16

 \bullet{\leadsto} \: \sf 2y \: = \: 16 \: - \: 6

 \bullet{\leadsto} \: \sf 2y \: = \: 10

 \bullet{\leadsto} \: \sf y \: = \: \dfrac{10}{2}

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

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

 \bullet{\leadsto} \: \sf x \: - \: 5 \: = \: 6

 \bullet{\leadsto} \: \sf x  \: = \: 6 \: + \: 5

 \bullet{\leadsto} \boxed{\sf x \: = \: 11.}

 \huge{\bf{\red{\mathfrak{Conclusion:-}}}}

 \bullet{\leadsto} \: \boxed{\therefore{\sf x \: = \: 11.}}

 \huge{\bf{\purple{\mathfrak{Verification:-}}}}

 \bullet{\leadsto} \: \sf x \: - \: y \: = \: 6 \: \longrightarrow \: \boxed{1}

 \bullet{\leadsto} \: \textsf{Substituting x = 11 and y = 5,}

 \bullet{\leadsto} \: \sf x \: - \: y \: = \: 6

 \bullet{\leadsto} \: \sf 11 \: - \: 5 \: = \: 6

 \bullet{\leadsto} \: \sf 6 \: = \: 6

 \bullet{\leadsto} \: \sf x \: + \: y \: = \: 16 \: \longrightarrow \: \boxed{2}

 \bullet{\leadsto} \: \textsf{Substituting x = 11 and y = 5,}

 \bullet{\leadsto} \: \sf x \: + \: y \: = \: 16

 \bullet{\leadsto} \: \sf 11 \: + \: 5 \: = \: 16

 \bullet{\leadsto} \: \sf 16 \: = \: 16

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

Answered by mahakalFAN
74

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