Question

solve X + Y = 7,3x-2y=11 by substitution method​

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{Equations are}$

$\mathsf{x+y=7,\;3x-2y=11}$

$\underline{\textbf{To find:}}$

$\textsf{Solution of the given equations by}$

$\textsf{substitution method}$

$\underline{\textbf{Solution:}}$

$\mathsf{Consider,}$

$\mathsf{x+y=7}$-------------(1)

$\mathsf{3x-2y=11}$----------(2)

$\mathsf{(1)\;can\;be\;written\;as\;\;y=7-x}$---------(3)

$\mathsf{Using (3) in (2), we get}$

$\mathsf{3x-2(7-x)=11}$

$\mathsf{3x-14+2x=11}$

$\mathsf{5x=25}$

$\implies\mathsf{x=\dfrac{25}{5}}$

$\implies\boxed{\mathsf{x=5}}$

$\textsf{Put x=5 in (3), we get}$

$\mathsf{y=7-5}$

$\implies\boxed{\mathsf{y=2}}$

$\therefore\boxed{\boxed{\textbf{Solution is x=5 and y=2}}}$

Answer 2

your answer is above.

hope it helps