Question

Sote the
pair of linear equation
2x+3y=8and9x+6y=6​

Answer 1

Answer:

x=-2,y=4

Step-by-step explanation:

2(2x+3y=8) i

9x+6y=6 ii

4x+6y=16 i

9x+6y=6 ii subtract i and ii

-5x=10

x=10/-5

x=-2

put value of x in any equation

2(-2)+3y=8

3y=8+4=12

y=12/3=4

Answer 2

Answer:

^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^^ω^

$\{\bold{\red{\text{Solution}}}$

$\dashrightarrow\sf\pink{2x+3y=8}$.........(1)

$\dashrightarrow\sf\pink{9x+6y=6}$..........(2)

$\small\boxed{\bf\green{Multiply \: in \: Equation (1) \: by\:2}}$

$\implies\boxed{\sf\pink{U \: get\: 4x+6y=16}}$.........(3)

$\star\small\boxed{\tt\red{solving\: (3) \:and \:(2)\: equations\: by \: subtracting \:equations }}$

$\mapsto\tt\red{9x+6y=6}</p><p>$ (-)$\tt\red{4x+6y=16}$

$\leadsto\tt\red{5x=-10}$

$\tt\red{x=\dfrac{-10}{5} =\cancel\dfrac{-10}{5}=-2}$

$\clubsuit\small\boxed{\sf\pink{ Substitute \: x \: value \: in\: equation \: (1)}}$

$\implies\displaystyle\pink{2(-2)+3y=8}$

$\implies\displaystyle\pink{-4+3y-8=0}$

$\implies\displaystyle\pink{3y=12}$

$\diamondsuit\boxed{\sf\blue{y=\dfrac{12}{3}=\cancel\dfrac{12}{3}=4}}</p><p>$$\small\boxed{\sf\purple{Answer: \: x=-2 \:and \:y=4}}$